Some curvature pinching results for riemannian manifolds with density

Research output: Research - peer-reviewArticle

Abstract

In this note we consider versions of both Ricci and sectional cur- vature pinching for Riemannian manifolds with density. In the Ricci curvature case the main result implies a diameter estimate that is new even for compact shrinking Ricci solitons. In the case of sectional curvature we prove a new sphere theorem.

LanguageEnglish (US)
Pages823-836
Number of pages14
JournalProceedings of the American Mathematical Society
Volume144
Issue number2
DOIs
StatePublished - Feb 1 2016

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Ricci Curvature
Sectional Curvature
Riemannian Manifold
Curvature
Solitons
Sphere Theorem
Ricci Soliton
Shrinking
Imply
Estimate

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Some curvature pinching results for riemannian manifolds with density. / Wylie, William.

In: Proceedings of the American Mathematical Society, Vol. 144, No. 2, 01.02.2016, p. 823-836.

Research output: Research - peer-reviewArticle

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