Eigenvalue estimates for Kato-type Ricci curvature conditions

22 May 2020 Rose Christian Wei Guofang

We prove that optimal lower eigenvalue estimates of Zhong-Yang type as well as a Cheng-type upper bound for the first eigenvalue hold on closed manifolds assuming only a Kato condition on the negative part of the Ricci curvature. This generalizes all earlier results on $L^p$-curvature assumptions... (read more)

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