Curvature of Hopf hypersurfaces in a complex space form

DOI10.1007/S00025-010-0080-YzbMath1251.53007OpenAlexW2069981604MaRDI QIDQ1758332

Makoto Kimura, Jong Taek Cho

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0080-y

zbMATH Keywords

Hopf hypersurfacescomplex space form\((k,\mu)\)-nullity distribution

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local Riemannian geometry (53B20)

Related Items (7)

Semi-parallelism of normal Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians ⋮ Transversal Killing operators on real hypersurfaces in nonflat complex space forms ⋮ GTW parallel structure Jacobi operator of real hypersurfaces in nonflat complex space forms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Semi-parallel symmetric operators for Hopf hypersurfaces in complex two-plane Grassmannians ⋮ On a class of real hypersurfaces in a complex space form with weakly \(\phi\)-invariant shape operator

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• Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
• Real hypersurfaces with constant principal curvatures in complex hyperbolic space.
• Focal Sets and Real Hypersurfaces in Complexes Projective Space

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