Hopf hypersurfaces in complex hyperbolic space and submanifolds in indefinite complex 2-plane Grassmannian. I

DOI10.1016/j.topol.2014.06.018zbMath1331.53079OpenAlexW377710956MaRDI QIDQ897441

Makoto Kimura, Jong Taek Cho

Publication date: 18 December 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2014.06.018

zbMATH Keywords

Gauss mapcomplex hyperbolic spaceHopf hypersurfacepara-quaternionic Kähler structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40)

Related Items (4)

Hopf hypersurfaces in complex projective space and half-dimensional totally complex submanifolds in complex 2-plane Grassmannians. II. ⋮ A twistor construction of Hopf real hypersurfaces in complex hyperbolic space ⋮ A normal line congruence and minimal ruled Lagrangian submanifolds in \(\mathbb{CP}^n\) ⋮ Real hypersurfaces with constant \(\phi \)-sectional curvature in complex projective space

Cites Work

• (Para-)Hermitian and (para-)Kähler submanifolds of a para-quaternionic Kähler manifold
• Real hypersurfaces of a complex hyperbolic space
• Hopf hypersurfaces of small Hopf principal curvature in \({\mathbb{C}{\text H}^2}\)
• Paracomplex structures and affine symmetric spaces
• Totally complex submanifolds of a quaternionic Kaehlerian manifold
• Real hypersurfaces in a complex projective space with constant principal curvatures
• Hamiltonian minimality and Hamiltonian stability of Gauss maps
• A d'Alembert formula for Hopf hypersurfaces
• A survey on paracomplex geometry
• On homogeneous real hypersurfaces in a complex projective space
• Fundamental theorem for totally complex submanifolds
• Submanifolds of (para-)quaternionic Kähler manifolds
• Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
• Focal Sets and Real Hypersurfaces in Complexes Projective Space
• On real hypersurfaces of a complex projective space
• On the global structure of Hopf hypersurfaces in a complex space form
• Hermitian and Kähler submanifolds of a quaternionic Kähler manifold
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