A weighted renormalized curvature for manifolds with density

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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
Issue number9
StatePublished - 2017

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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