香蕉视频

Title: Spectral estimates for Riemannian submersions

Abstract: In this talk we will survey some results on the behavior of the spectrum under Riemannian submersions. In the first part of the talk, we will show that if the submersion has closed fibers of bounded mean curvature, then the base manifold has discrete spectrum if and only if so does the total space. In the second part, we will consider submersions arising from actions of Lie groups and investigate how the behavior of the spectrum is intertwined with algebraic properties of the group.

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Meeting ID: 657 0234 2444

Passcode: 136029