A certain \(\eta\)-parallelism on real hypersurfaces in a nonflat complex space form

DOI10.1515/MS-2021-0071OpenAlexW4200124703MaRDI QIDQ2063370

Kazuhiro Okumura

Publication date: 11 January 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2021-0071

zbMATH Keywords

Hopf hypersurfacesreal hypersurfacesnonflat complex space formsthe tensor field \(h\)

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25) Almost contact and almost symplectic manifolds (53D15)

Related Items (4)

Transversal Killing operators on real hypersurfaces in nonflat complex space forms ⋮ Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators ⋮ Real hypersurfaces in a nonflat complex space form whose certain tensor is recurrent ⋮ Transversal Killing \(h\)-operators on real hypersurfaces in nonflat complex space forms

Cites Work

• Unnamed Item
• Unnamed Item
• \(\eta\)-parallel contact metric spaces
• Real hypersurfaces of a complex hyperbolic space
• On some real hypersurfaces of a complex hyperbolic space
• Sectional curvatures of holomorphic planes on a real hypersurface in \(P^ n({\mathbb{C}})\)
• Jacobi operators on real hypersurfaces of a complex projective space
• On homogeneous real hypersurfaces in a complex projective space
• Real hypersurfaces in complex projective space whose structure Jacobi operator is \(\mathbb D\)-parallel
• On real hypersurfaces of a complex space form with \(\eta\)-parallel Ricci tensor
• Geometry of Hypersurfaces
• CONTACT METRIC HYPERSURFACES IN COMPLEX SPACE FORMS
• 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
• Ruled real hypersurfaces of a complex space form
• On Some Real Hypersurfaces of a Complex Projective Space
• A certain tensor on real hypersurfaces in a nonflat complex space form
• NOTES ON REAL HYPERSURFACES IN A COMPLEX SPACE FORM
• Riemannian geometry of contact and symplectic manifolds
• On real hypersurfaces of a complex projective space

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