Submanifold geometry in symmetric spaces of noncompact type

2019/01/14 by Diaz-Ramos, Jose Carlos, Dominguez-Vazquez, Miguel, Sanmartin-Lopez, Victor
#53B25 #53C35 #53C40 #57S20 #58D19 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.04552

Abstract

In this survey article we provide an introduction to submanifold geometry in symmetric spaces of noncompact type. We focus on the construction of examples and the classification problems of homogeneous and isoparametric hypersurfaces, polar and hyperpolar actions, and homogeneous CPC submanifolds.

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