Submanifold geometry in symmetric spaces of noncompact type
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Publication:2042161
DOI10.1007/s40863-019-00119-6zbMath1480.53068arXiv1901.04552OpenAlexW2963111228WikidataQ107168583 ScholiaQ107168583MaRDI QIDQ2042161
Miguel Domínguez-Vázquez, Víctor Sanmartín-López, José Carlos Díaz-Ramos
Publication date: 28 July 2021
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.04552
symmetric spaceconstant principal curvatureshyperpolar actionpolar actionisoparametric hypersurfaceisometric actioncohomogeneity-one actionhomogeneous submanifoldnoncompact typeCPC submanifold
Group actions and symmetry properties (58D19) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Local submanifolds (53B25) Noncompact Lie groups of transformations (57S20)
Related Items (7)
Totally geodesic surfaces in the complex quadric ⋮ Einstein hypersurfaces in irreducible symmetric spaces ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank ⋮ Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces ⋮ A nonisoparametric hypersurface with constant principal curvatures ⋮ From isoparametric submanifolds to polar foliations
Cites Work
- Some remarks on polar actions
- Maximal totally geodesic submanifolds and index of symmetric spaces
- Progress in the theory of singular Riemannian foliations
- Isoparametric hypersurfaces in Damek-Ricci spaces
- Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
- Polar foliations of symmetric spaces
- A filtration for isoparametric hypersurfaces in Riemannian manifolds
- Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes
- Polar actions with a fixed point
- Hyperpolar homogeneous foliations on symmetric spaces of noncompact type
- Geometric resolution of singular Riemannian foliations
- Totally geodesic submanifolds of the exceptional Riemannian symmetric spaces of rank 2
- Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds
- Real hypersurfaces with constant principal curvatures in complex space forms
- Cohomogeneity one actions on some noncompact symmetric spaces of rank two
- Geometric properties of Heisenberg-type groups
- Cliffordalgebren und neue isoparametrische Hyperflächen
- Reflective submanifolds. III. Congruency of isometric reflective submanifolds and corrigenda to the classification of reflective submanifolds
- A short topological proof for the symmetry of 2 point homogeneous spaces
- Totally geodesic submanifolds of symmetric spaces. I
- Totally geodesic submanifolds of symmetric spaces. II
- Symmetric spaces and strongly isotropy irreducible spaces
- Generalized Heisenberg groups and Damek-Ricci harmonic spaces
- Polar actions on rank-one symmetric spaces.
- Polar foliations on quaternionic projective spaces
- Polar actions on complex hyperbolic spaces
- A new structural approach to isoparametric hypersurfaces in spheres
- On the index of symmetric spaces
- Homogeneity of equifocal submanifolds.
- Homogeneous codimension one foliations on noncompact symmetric spaces.
- Cohomogeneity one actions on noncompact symmetric spaces with a totally geodesic singular orbit
- Polar actions on the complex hyperbolic plane
- Polar manifolds and actions
- Isoparametric hypersurfaces with \((g,m)=(6,2)\)
- Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities
- Geometry of isoparametric hypersurfaces in Riemannian manifolds
- Isoparametric hypersurfaces with four principal curvatures. IV
- On hypersurfaces of \(\mathbb{S}^2 \times \mathbb{S}^2\)
- Isoparametric hypersurfaces in complex hyperbolic spaces
- On the classification of isoparametric hypersurfaces with four distinct curvatures in spheres
- Isoparametric submanifolds in two-dimensional complex space forms
- Polar actions on symmetric spaces
- Isoparametric hypersurfaces with four principal curvatures
- Elliptic spaces in Grassmann manifolds
- Cohomogeneity one actions on hyperbolic spaces
- A classification of hyperpolar and cohomogeneity one actions
- Isoparametric foliations on complex projective spaces
- Cohomogeneity one actions on symmetric spaces of noncompact type
- Polar Actions on Symmetric Spaces
- Non-Hopf real hypersurfaces with constant principal curvatures in complex space forms
- Duality of symmetric spaces and polar actions
- Totally geodesic submanifolds of the complex and the quaternionic 2-Grassmannians
- Cohomogeneity one actions on noncompact symmetric spaces of rank one
- Canonical Extension of Submanifolds and Foliations in Noncompact Symmetric Spaces
- Submanifolds and Holonomy
- Polar Coordinates Induced by Actions of Compact Lie Groups
- A General Theory of Canonical Forms
- Real hypersurfaces with constant principal curvatures in complex hyperbolic space.
- A class of nonsymmetric harmonic Riemannian spaces
- Isoparametric Submanifolds of Hyperbolic Spaces
- Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
- Polar actions on symmetric spaces of higher rank
- Lie Groups and Geometric Aspects of Isometric Actions
- The index of compact simple Lie groups
- Real hypersurfaces in quaternionic space forms.
- SUBMANIFOLDS WITH CONSTANT PRINCIPAL CURVATURES AND NORMAL HOLONOMY GROUPS
- Lie groups beyond an introduction
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