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Compactness of isospectral conformal Finslerian metrics set on a 3-manifold

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G. Nibaruta, P. Nshimirimana

General Mathematics · Submitted 19 Sep 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this work, we study problems about compactness of isospectral sets of conformal Finslerian metrics when n=3.

how it is stated · asserted 0.76 read the record →

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arXiv ID2110.06338 (version 2)
Pith ID2B3727I2, Pith's permanent record of this paper and its review
CitationG. Nibaruta, P. Nshimirimana. "Compactness of isospectral conformal Finslerian metrics set on a 3-manifold." arXiv:2110.06338 (2021). https://pith.science/paper/2B3727I2
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,239 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.30 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Let F be a Finslerian metric on an n-dimensional closed manifold M. In this work, we study problems about compactness of isospectral sets of conformal Finslerian metrics when n=3.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Let F be a Finslerian metric on an n-dimensional closed manifold M. background 1.00 0.06 0.02 asserted 0.67
s1 In this work, we study problems about compactness of isospectral sets of conformal Finslerian metrics when n=3. contribution 0.99 0.84 0.10 asserted 0.76

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.99.

What was examined, and what was not

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not examined
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  • references and citing sentences
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  • P abstract
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  • T body sentences
  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Let F be a Finslerian metric on an n-dimensional closed manifold M. In this work, we study problems about compactness of isospectral sets of conformal Finslerian metrics when n=3.

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