Geometric Properties of Orbits of Hermann actions

2021/01/04 by Shinji Ohno, Ohno, Shinji · 2 citations
Mathematics · #53C35 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C35

paper · pdf · doi:10.48550/arxiv.2101.00765

arxiv created 2021/01/04 · arxiv updated 2021/01/05

Abstract

In this paper, we investigate properties of orbits of Hermann actions as submanifolds without assuming the commutability of involutions which define Hermann actions. In particular, we compute the second fundamental form of orbits of Hermann action, and give a sufficient condition for orbits of Hermann action to be weakly reflective (resp. arid) submanifolds.

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