Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank

Abstract: A hypersurface is said to be isoparametric if it and its nearby equidistant hypersurfaces have constant mean curvature. In this talk, we will see examples of these objects in the context of symmetric spaces together with some classification results. After that, we will construct infinitely many new examples of isoparametric hypersurfaces with novel properties in symmetric spaces of non-compact type and rank greater than two.

differential geometrymetric geometry

Audience: researchers in the topic

( video )

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, send a message to geometrywithsymmetries@gmail.com requiring it.

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