Lower diameter bounds for compact shrinking Ricci solitons

Details Lower diameter bounds for compact shrinking Ricci solitons Lower diameter bounds for compact shrinking Ricci solitons

2010-07-11

arxiv.org/abs/1007.1759v1

Mathematics

Differential Geometry

14 pages

Scientific paper

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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