Real hypersurfaces in complex Grassmannians of rank two with semi-parallel structure Jacobi operator

2017/12/14 by Avik De, De, Avik, Tee-How Loo +3
Mathematics · #53C15 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C25 #Secondary 53B20 #math.DG #msc:53B20 #msc:53C15 #msc:53C25

paper · pdf · doi:10.48550/arxiv.1712.05108

arxiv created 2017/12/14 · arxiv updated 2017/12/15

Abstract

We prove that there does not exist any real hypersurface in complex Grassmannians of rank two with semi-parallel structure Jacobi operator. With this result, the nonexistence of real hypersurface in complex Grassmannians of rank two with recurrent structure Jacobi operator is proved.

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