Semi-parallel real hypersurfaces in complex two-plane Grassmannians

2014/02/19 by Tee-How Loo, Loo, Tee-How
Mathematics · #53B25 #53C15 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B25 #msc:53C15 #msc:53C40

paper · pdf · doi:10.48550/arxiv.1402.4580

arxiv created 2014/02/19 · arxiv updated 2014/02/20

Abstract

We prove that there does not exist any semi-parallel real hypersurface in complex two-plane Grassmannians. With this result, the nonexistence of recurrent real hypersurfaces in complex two-plane Grassmannians can also be proved.

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