Paper Citation Record · LEDGER

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$

As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.18205.

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pith.paper-citation-record.v1
2607.18205 v1

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measured 44 of 44 reference resolution

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Outbound references

Observation d4875ee9-6ae3-4d1e-9711-051cc6b8289d · outbound

This paper cites Quantitative stability of the total $Q$-curvature near minimizing metrics.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Quantitative stability of the total $Q$-curvature near minimizing metrics

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T15:54:24.081172Z

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Observation a08df306-9319-472b-9940-de489f2f2a19 · outbound

This paper cites an unresolved cited work.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 2

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Observation 1df5fd51-3224-4a80-ad04-e423f17f3442 · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 3

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Observation 040ea29f-bef0-4b74-af9f-2e7819d92980 · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 4

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Observation fa20d2ec-7a96-414b-8107-972f7d8cd50f · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 5

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Observation f92a59b5-9e57-4c13-afc1-cdb3200ecb82 · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 6

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Observation c8fb5df4-ed7f-4842-ac57-8a3ac6a708a2 · outbound

This paper cites an unresolved cited work.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 7

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Observation 019e8f20-0b47-483e-a403-af4586761b9e · outbound

This paper cites Chen and F.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Chen and F

Reference 8

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Observation 004dcb9f-72f0-4cd4-a783-1032ba5f38c8 · outbound

This paper cites Djadli, E.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Djadli, E

Reference 9

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Observation 60599318-6e5f-4ca1-9ae0-e3762d816c39 · outbound

This paper cites Esposito and F.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Esposito and F

Reference 10

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Observation 9b67fd81-dfb2-489f-a986-f6e4d32a9d4d · outbound

This paper cites Fang,On a conformal Gauss–Bonnet–Chern inequality for LCF manifolds and related topics, Calc.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Fang,On a conformal Gauss–Bonnet–Chern inequality for LCF manifolds and related topics, Calc

Reference 11

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Observation 07b26912-5015-45eb-8330-eedcbb684bb6 · outbound

This paper cites Fazly, J.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Fazly, J

Reference 12

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Observation 7343002f-e60c-49d2-8e97-2cb63c4ef0d9 · outbound

This paper cites Fefferman and C.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Fefferman and C

Reference 13

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Observation 35a3d76c-c8a4-40c8-975e-7c188a2af8e6 · outbound

This paper cites 178, Princeton University Press, Princeton, NJ, 2012.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ 178, Princeton University Press, Princeton, NJ, 2012

Reference 14

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Observation 3c6d73f4-3cf0-4952-8a0a-a6d043b5da70 · outbound

This paper cites Finn,On a class of conformal metrics, with application to differential geometry in the large, Comment.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Finn,On a class of conformal metrics, with application to differential geometry in the large, Comment

Reference 15

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Observation 7cd64a91-679f-4045-a72a-cc81c66f7e00 · outbound

This paper cites an unresolved cited work.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 16

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Observation 4295cb9b-90bf-4a1c-9922-e9b18d34387e · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 17

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Observation 435a9a77-fecc-4919-ac53-03c2edc95746 · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 18

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Observation 36ebe516-350c-4e5c-9a59-3055b2f57ac5 · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 19

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Observation ee9fe745-5b89-4a40-b24d-436d1319bc6c · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 20

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Observation 0203c6a3-3e74-4973-91a7-c47fe3688983 · outbound

This paper cites Hang and P.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Hang and P

Reference 21

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Observation 2b1958a4-9362-477e-8784-3ef64137cf86 · outbound

This paper cites Pure Appl.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Pure Appl

Reference 22

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Observation 5e4c8317-981e-44ed-a94c-f196bf7c0b4e · outbound

This paper cites Hebey and F.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Hebey and F

Reference 23

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Observation d1d8948a-5468-423d-94be-9501154ed6f7 · outbound

This paper cites Hebey, F.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Hebey, F

Reference 24

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Observation 0cc18a5e-e6ae-4e88-a70f-8d479a9fa36a · outbound

This paper cites Hyder and Y Sire,Singular solutions for the constantQ-curvature problem, J.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Hyder and Y Sire,Singular solutions for the constantQ-curvature problem, J

Reference 25

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Observation 4a8af5d9-5d14-4041-9482-3f1e44341812 · outbound

This paper cites Li,The totalQ-curvature, volume entropy and polynomial growth polyharmonic functions, Adv.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Li,The totalQ-curvature, volume entropy and polynomial growth polyharmonic functions, Adv

Reference 26

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Observation 9547ccf5-1ce4-470c-bff4-e192a2eecdfd · outbound

This paper cites The total Q-curvature, volume entropy and polynomial growth polyharmonic functions (II).

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ The total Q-curvature, volume entropy and polynomial growth polyharmonic functions (II)

Reference 27

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Observation 9746e7f6-08ca-4a86-93dc-b9cea1396536 · outbound

This paper cites arXiv:2405.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ arXiv:2405

Reference 28

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Observation e28e4cd7-e316-4bb6-8ddd-e45b2a1377a6 · outbound

This paper cites Li and J.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Li and J

Reference 29

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Observation 1915caee-4395-44c3-897a-83f4e4383149 · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 30

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Observation 342285e0-a18d-4063-b7da-456816c1db33 · outbound

This paper cites Li and J.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Li and J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T15:54:27.051664Z

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Observation fe975e63-e916-49f9-8e67-0290a67bec72 · outbound

This paper cites Li and X.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Li and X

Reference 32

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Observation 81428b8d-d5b8-479c-9659-87dd0c39f035 · outbound

This paper cites A sharp isoperimetric inequality and the top order $Q$-curvature.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ A sharp isoperimetric inequality and the top order $Q$-curvature

Reference 33

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Observation 3575a475-0229-4060-9660-8d72697a27ea · outbound

This paper cites Lin,A classification of solutions of a conformally invariant fourth order equation inR n, Comment.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Lin,A classification of solutions of a conformally invariant fourth order equation inR n, Comment

Reference 34

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Observation 90196b52-8402-43bd-bc8a-240a1c12d95f · outbound

This paper cites Martinazzi,Classification of solutions to the higher order Liouville’s equation on R2m, Math.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Martinazzi,Classification of solutions to the higher order Liouville’s equation on R2m, Math

Reference 35

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Observation 9e14b453-2e37-4791-b4d0-ab9112bbb971 · outbound

This paper cites Mazumdar and B.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Mazumdar and B

Reference 36

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Observation 45015491-fb20-4e2c-922b-c5fcd1576e6f · outbound

This paper cites Mazumdar and C.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Mazumdar and C

Reference 37

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Observation 819cf48c-93a6-4710-85d1-4f2da8020607 · outbound

This paper cites Mazumdar and J.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Mazumdar and J

Reference 38

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Observation cfe88df0-3648-4324-86db-582a12f97847 · outbound

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Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Unresolved cited work

Reference 39

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Observation 3e90660f-b7b7-44ff-9b4a-f83e65606b52 · outbound

This paper cites Obata,The conjectures on conformal transformations of Riemannian manifolds, J.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Obata,The conjectures on conformal transformations of Riemannian manifolds, J

Reference 40

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Observation fa423b7b-10b0-4844-89c8-ce6cdf9410fc · outbound

This paper cites Robert,Positive solutions for a fourth order equation invariant under isometries, Proc.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Robert,Positive solutions for a fourth order equation invariant under isometries, Proc

Reference 41

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Observation 5cdf349a-ae55-4118-a121-057b407d068e · outbound

This paper cites Math., vol.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Math., vol

Reference 42

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Observation bb7978c0-3187-41a4-a353-ff79413bf308 · outbound

This paper cites V´ etois,Uniqueness of conformal metrics with constantQ-curvature on closed Ein- stein manifolds, Potential Anal.61(2024), no.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ V´ etois,Uniqueness of conformal metrics with constantQ-curvature on closed Ein- stein manifolds, Potential Anal.61(2024), no

Reference 43

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Observation 194fc12d-ce33-4876-8978-c5ab429293ed · outbound

This paper cites Wei and X.

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$ Wei and X

Reference 44

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