A weighted renormalized curvature for manifolds with density

Jeffrey S. Case

doi:10.1090/proc/13566

A weighted renormalized curvature for manifolds with density

Jeffrey S. Case

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English (US)
Pages (from-to)	4031-4040
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	9
DOIs	https://doi.org/10.1090/proc/13566
State	Published - 2017

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/proc/13566

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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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AB - 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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JF - Proceedings of the American Mathematical Society

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A weighted renormalized curvature for manifolds with density

Abstract

All Science Journal Classification (ASJC) codes

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