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arXiv · 1504.05577

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

Homare Tadano
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Abstract

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.

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Homare Tadano. 2015-04-21. An upper diameter bound for compact Ricci solitons with applications to the Hitchin-Thorpe inequality. https://arxiv.org/abs/1504.05577

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