Asian Journal of Mathematics
Volume 17 (2013)
Lower diameter bounds for compact shrinking ricci solitons
Pages: 17 – 32
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.
shrinking Ricci soliton, diameter bound
2010 Mathematics Subject Classification
Primary 53C21. Secondary 53C20.