On the global structure of Hopf hypersurfaces in a complex space form

zbMath0988.53024arXiv0803.3943MaRDI QIDQ5954255

Alexander A. Borisenko

Publication date: 17 February 2002

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3943

zbMATH Keywords

complex space formHopf hypersurfaceKähler submanifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40)

Related Items (12)

Hopf hypersurfaces in complex projective space and half-dimensional totally complex submanifolds in complex 2-plane Grassmannians. II. ⋮ A Jellett type theorem for the Levi curvature ⋮ The $\mathfrak{A}$-principal real hypersurfaces in complex quadrics ⋮ An integral formula in Kähler geometry with applications ⋮ Hopf hypersurfaces in complex hyperbolic space and submanifolds in indefinite complex 2-plane Grassmannian. I ⋮ Approaching the isoperimetric problem in \(H_{\mathbb{C}}^m\) via the hyperbolic log-convex density conjecture ⋮ Hopf Hypersurfaces in Complex Two-Plane Grassmannians with GTW Killing Shape Operator ⋮ Some integral formulas for the characteristic curvature ⋮ High-order Levi curvatures and classification results ⋮ Horizontal Newton operators and high-order Minkowski formula ⋮ Higher-order Minkowski formula in complex space forms ⋮ Hopf hypersurfaces in complex projective space and half-dimensional totally complex submanifolds in complex 2-plane Grassmannian I

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