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Eigenvalues of $$(-\triangle + \frac{R}{2})$$ on manifolds with nonnegative curvature operator
Authors:Xiaodong Cao
Institution:(1) Department of Mathematics, Cornell University, Ithaca, NY 14853, USA
Abstract:In this paper, we show that the eigenvalues of $$(-\triangle+\frac{R}{2})$$ are nondecreasing under the Ricci flow for manifolds with nonnegative curvature operator. Then we show that the only steady Ricci breather with nonnegative curvature operator is the trivial one which is Ricci-flat.
Keywords:Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000)  53C44
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