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arXiv · 1007.1759

Lower diameter bounds for compact shrinking Ricci solitons

Akito Futaki·Yuji Sano
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Abstract

It is shown that the diameter of a compact shrinking Ricci soliton has a universal lower bound. This is proved by extending universal estimates for the first non-zero eigenvalue of Laplacian on compact Riemannian manifolds with lower Ricci curvature bound to a twisted Laplacian on compact shrinking Ricci solitons.

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Akito Futaki, Yuji Sano. 2010-07-11. Lower diameter bounds for compact shrinking Ricci solitons. https://arxiv.org/abs/1007.1759

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