A weighted renormalized curvature for manifolds with density

Research output: Contribution to journalArticle

Abstract

We introduce a scalar invariant on manifolds with density which is analogous to the renormalized volume coefficient v3 in conformal geometry. We show that this invariant is variational and that shrinking gradient Ricci solitons are stable with respect to the associated W-functional.

Original languageEnglish (US)
Pages (from-to)4031-4040
Number of pages10
JournalProceedings of the American Mathematical Society
Volume145
Issue number9
DOIs
StatePublished - Jan 1 2017

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Solitons
Curvature
Conformal Geometry
Ricci Soliton
Invariant
Geometry
Shrinking
Scalar
Gradient
Coefficient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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title = "A weighted renormalized curvature for manifolds with density",
abstract = "We introduce a scalar invariant on manifolds with density which is analogous to the renormalized volume coefficient v3 in conformal geometry. We show that this invariant is variational and that shrinking gradient Ricci solitons are stable with respect to the associated W-functional.",
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A weighted renormalized curvature for manifolds with density. / Case, Jeffrey S.

In: Proceedings of the American Mathematical Society, Vol. 145, No. 9, 01.01.2017, p. 4031-4040.

Research output: Contribution to journalArticle

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