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arXiv:1504.05577 [math.DG]AbstractReferencesReviewsResources

An upper diameter bound for compact Ricci solitons with applications to the Hitchin-Thorpe inequality

Homare Tadano

Published 2015-04-21Version 1

In this article, stimulated by Fernandez-Lopez and Garcia-Rio, we shall give an upper diameter bound for compact Ricci solitons in terms of the range of the scalar curvature. As an application, we shall provide some sufficient conditions for four-dimensional compact Ricci solitons to satisfy the Hitchin-Thorpe inequality.

Comments: arXiv admin note: substantial text overlap with arXiv:1504.05384
Categories: math.DG
Subjects: 53C21, 53C20, 53C25
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