SOME CURVATURE PINCHING RESULTS FOR RIEMANNIAN MANIFOLDS WITH DENSITY

作者：Wylie William^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144(2): 823-836.

DOI：10.1090/proc/12853

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.

• 出版日期2016-2