Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes

DOI10.1007/s12220-016-9686-yzbMath1362.53070arXiv1310.0357OpenAlexW1577124264MaRDI QIDQ522482

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

Publication date: 13 April 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0357

zbMATH Keywords

complex projective spacecomplex hyperbolic spaceprincipal curvaturespolar actionparallel mean curvaturenon-Hopf real hypersurface

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Local submanifolds (53B25) Noncompact Lie groups of transformations (57S20)

Related Items (5)

Cohomogeneity one actions on anti de Sitter spacetimes ⋮ Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes ⋮ Isoparametric submanifolds in two-dimensional complex space forms ⋮ Weakly Einstein real hypersurfaces in \(\mathbb{C} P^2\) and \(\mathbb{C} H^2\) ⋮ Submanifold geometry in symmetric spaces of noncompact type

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