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As an application, we characterize manifolds with conical singularities on which a $\\lambda$-functional can be defined and get upper bounds on the $\\nu$-functional of asymptotically conical manifolds.\n  We then present an adaptation of the proof of Pere"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1707.06102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-07-19T14:02:45Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"3f5f8d1a13355ebe4ff7baee8b3148ca84b8e5d7a8f36cf76f23055033c3652b","abstract_canon_sha256":"007a6519240e6bfc2d3b83d2293eb05f0323feee1aa9ae2fb6fdc2c24d64c5c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:57.604618Z","signature_b64":"kiC1SVpzKS3Hga385KPSPedia6sfBT38CxFO7MNAgedR5KXos/uaZr9njKFUpKwb+7Yt8uqpQgpE0gfDXFesCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1177aac8478527e6475e076a287a3d61493bfd6bf019786555795ca0956566c4","last_reissued_at":"2026-05-18T00:39:57.604176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:57.604176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perelman's functionals on cones and Construction of type III Ricci flows coming out of cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Tristan Ozuch","submitted_at":"2017-07-19T14:02:45Z","abstract_excerpt":"In this paper, we are interested in conical structures of manifolds with respect to the Ricci flow and, in particular, we study them from the point of view of Perelman's functionals.\n  In a first part, we study Perelman's $\\lambda$ and $\\nu$ functionals of cones and characterize their finiteness in terms of the $\\lambda$-functional of the link. 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