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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some curvature pinching results for Riemannian manifolds with density
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by William Wylie PDF
Proc. Amer. Math. Soc. 144 (2016), 823-836 Request permission

Abstract:

In this note we consider versions of both Ricci and sectional curvature 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.
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Additional Information
  • William Wylie
  • Affiliation: Department of Mathematics, 215 Carnegie Building, Syracuse University, Syracuse, New York 13244
  • MR Author ID: 792291
  • Email: wwylie@syr.edu
  • Received by editor(s): January 24, 2015
  • Published electronically: August 26, 2015
  • Communicated by: Lei Ni
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 823-836
  • MSC (2010): Primary 53C25
  • DOI: https://doi.org/10.1090/proc/12853
  • MathSciNet review: 3430857