07-26吴文俊数学重点实验室微分几何系列报告【Shaosai Huang】

时间:2019-07-22


Title:Almost constancy of eigenfunctions of collapsing Einstein manifolds
Speaker:Shaosai Huang  (University of Wisconsin-Madison)
Time:2019年7月26日           上午    10:00-11:00
Room:东区管理科研楼   澳门新葡新京1318室

Abstract:In 1987, Fukaya proved the continuity of eigenvalues of Riemannian manifolds with uniformly bounded curvature and diameter with respect to the measured Gromov-Hausdorff topology. With the major concern being a sequence of collapsing Riemannian manifolds, his result was based on a so-called key estimate, asserting that the eigenfunctions are almost constant along those collapsing directions. In this talk, we discuss a generalization of Fukaya's key lemma to the setting of collapsing Einstein manifolds, without assuming a uniform curvature bound.


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