Lower diameter bounds for compact shrinking Ricci solitons

Published 11 Jul 2010 in math.DG | (1007.1759v1)

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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