Some curvature pinching results for riemannian manifolds with density

William Wylie

doi:10.1090/proc/12853

Some curvature pinching results for riemannian manifolds with density

William Wylie

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

4 Scopus citations

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.

Original language	English (US)
Pages (from-to)	823-836
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	2
DOIs	https://doi.org/10.1090/proc/12853
State	Published - Feb 2016

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "Some curvature pinching results for riemannian manifolds with density",

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.",

author = "William Wylie",

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Some curvature pinching results for riemannian manifolds with density

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