On characterizations of Hopf hypersurfaces in a nonflat complex space form with commuting operators

DOI10.1216/RMJ-2014-44-6-1923zbMath1315.53057MaRDI QIDQ2514549

Hyunjung Song, Dong Ho Lim, In-Bae Kim

Publication date: 3 February 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1422885101

zbMATH Keywords

real hypersurfacecomplex space formJacobi operatorHopf hypersurfacemodel space of type A

Mathematics Subject Classification ID

Global submanifolds (53C40) Global theory of symplectic and contact manifolds (53D35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (3)

Parallelism of structure Lie operators on real hypersurfaces in nonflat complex space forms ⋮ On characterizations of Hopf hypersurfaces in a nonflat complex space form with anti-commuting operators ⋮ Unnamed Item

Cites Work

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• On some real hypersurfaces of a complex hyperbolic space
• Real hypersurfaces of a complex projective space in terms of the Jacobi operators
• On homogeneous real hypersurfaces in a complex projective space
• Non-existence of real hypersurfaces with parallel structure Jacobi operator in nonflat complex space forms
• Real hypersurfaces in complex projective space with recurrent structure Jacobi operator
• CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM
• Real hypersurfaces with constant principal curvatures in complex hyperbolic space.
• On Some Real Hypersurfaces of a Complex Projective Space

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