Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes

DOI10.1007/s10231-017-0687-7zbMath1387.53029arXiv1609.01978OpenAlexW2963869396WikidataQ126281398 ScholiaQ126281398MaRDI QIDQ2413456

Cristina Vidal-Castiñeira, Miguel Domínguez-Vázquez, José Carlos Díaz-Ramos

Publication date: 10 April 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01978

zbMATH Keywords

Levi-flatconstant mean curvaturecomplex hyperbolic planepolar actioncomplex projective planeruledcohomogeneity oneausterestrongly 2-Hopf

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Noncompact Lie groups of transformations (57S20)

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Cites Work

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• Austere submanifolds in \(\mathbb{C}P^n\)
• Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes
• Real hypersurfaces with constant principal curvatures in complex space forms
• Levi-parallel hypersurfaces in a complex space form
• Homogeneous hypersurfaces in complex hyperbolic spaces
• Minimal cones and the spherical Bernstein problem. I
• Calibrated geometries
• Sectional curvatures of holomorphic planes on a real hypersurface in \(P^ n({\mathbb{C}})\)
• On ruled real hypersurfaces in complex space forms
• On ruled real hypersurfaces in a complex space form
• Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension \(\geq 3\)
• Complete minimal hypersurfaces in complex hyperbolic space
• Polar actions on rank-one symmetric spaces.
• Polar actions on complex hyperbolic spaces
• Polar actions on the complex hyperbolic plane
• Minimal submanifolds of low cohomogeneity
• Non-Hopf real hypersurfaces with constant principal curvatures in complex space forms
• Geometry of Hypersurfaces
• AUSTERE HYPERSURFACES IN 5-SPHERE AND REAL HYPERSURFACES IN COMPLEX PROJECTIVE PLANE
• Submanifolds and Holonomy
• HYPERSURFACES IN P² AND H² WITH TWO DISTINCT PRINCIPAL CURVATURES
• Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
• Real hypersurfaces with constant principal curvatures in complex hyperbolic space.
• Real hypersurfaces with constant principal curvatures in the complex hyperbolic plane