REAL HYPERSURFACES WITH CYCLIC-PARALLEL STRUCTURE JACOBI OPERATORS IN A NONFLAT COMPLEX SPACE FORM

DOI10.1017/S0004972709000860zbMath1192.53018MaRDI QIDQ3552483

U-Hang Ki, Hiroyuki Kurihara

Publication date: 22 April 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

real hypersurfacecomplex space formstructure Jacobi operatorcyclic-parallel

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Related Items (3)

GTW parallel structure Jacobi operator of real hypersurfaces in nonflat complex space forms ⋮ Unnamed Item ⋮ On a class of real hypersurfaces in a complex space form with weakly \(\phi\)-invariant shape operator

Cites Work

• Jacobi operators along the structure flow on real hypersurfaces in a nonflat complex space form
• On some real hypersurfaces of a complex hyperbolic space
• Real hypersurfaces in a complex projective space with constant principal curvatures
• Real hypersurfaces in a complex projective space with constant principal curvatures. II
• Real hypersurfaces of a complex projective space in terms of the Jacobi operators
• Non-existence of real hypersurfaces with parallel structure Jacobi operator in nonflat complex space forms
• Cohomogeneity one actions on noncompact symmetric spaces of rank one
• Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
• Focal Sets and Real Hypersurfaces in Complexes Projective Space
• On Some Real Hypersurfaces of a Complex Projective Space
• On real hypersurfaces of a complex projective space

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