Hopf hypersurfaces in complex projective space and half-dimensional totally complex submanifolds in complex 2-plane Grassmannian I

DOI10.1016/j.difgeo.2014.04.004zbMath1319.53021OpenAlexW2012289252WikidataQ115356276 ScholiaQ115356276MaRDI QIDQ2350993

Makoto Kimura

Publication date: 26 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2014.04.004

zbMATH Keywords

Gauss mapHopf hypersurfacequaternionic Kähler structure

Mathematics Subject Classification ID

Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Related Items (6)

Hopf hypersurfaces in complex projective space and half-dimensional totally complex submanifolds in complex 2-plane Grassmannians. II. ⋮ Unnamed Item ⋮ Totally complex submanifolds of a complex Grassmann manifold of 2-planes ⋮ 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

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• 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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