Homogeneous hypersurfaces in symmetric spaces
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Publication:6120645
DOI10.1007/978-3-031-39916-9_5OpenAlexW4387758292MaRDI QIDQ6120645
José Carlos Díaz-Ramos, Miguel Domínguez-Vázquez, Tomás Otero
Publication date: 25 March 2024
Published in: New Trends in Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-39916-9_5
projective spacehyperbolic spacesymmetric spaceminimal submanifoldconstant principal curvaturesisoparametric hypersurfaceisometric actionparabolic subgrouphomogeneous submanifoldnoncompact typecohomogeneity one action
Cites Work
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- Maximal totally geodesic submanifolds and index of symmetric spaces
- Heat flow, heat content and the isoparametric property
- Isoparametric hypersurfaces in Damek-Ricci spaces
- Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
- Isoparametric functions on exotic spheres
- Differentiable classification of 4-manifolds with singular Riemannian foliations
- Hyperpolar homogeneous foliations on symmetric spaces of noncompact type
- Classification of compact transformation groups on cohomology quaternion projective spaces with codimension one orbits
- Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds
- Isoparametrische Hyperflächen in Sphären. I
- A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids
- Cohomogeneity one actions on some noncompact symmetric spaces of rank two
- Calibrated geometries
- Isoparametric functions on Riemannian manifolds. I
- On maximal subgroups of real Lie groups
- Reflective submanifolds. III. Congruency of isometric reflective submanifolds and corrigenda to the classification of reflective submanifolds
- Certain isoparametric families of hypersurfaces in symmetric spaces
- A short topological proof for the symmetry of 2 point homogeneous spaces
- Generalized Heisenberg groups and Damek-Ricci harmonic spaces
- Polar actions on rank-one symmetric spaces.
- Polar foliations on quaternionic projective spaces
- A new structural approach to isoparametric hypersurfaces in spheres
- Homogeneous codimension one foliations on noncompact symmetric spaces.
- Geometric rigidity of constant heat flow
- When are the spatial level surfaces of solutions of diffusion equations invariant with respect to the time variable?
- Compact transformation groups on rational cohomology Cayley projective planes
- Cohomogeneity one actions on noncompact symmetric spaces with a totally geodesic singular orbit
- Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities
- Geometry of isoparametric hypersurfaces in Riemannian manifolds
- Submanifold geometry in symmetric spaces of noncompact type
- Codimension one Ricci soliton subgroups of solvable Iwasawa groups
- On the heat content functional and its critical domains
- From isoparametric submanifolds to polar foliations
- Isoparametric hypersurfaces with four principal curvatures. IV
- Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces
- On homogeneous real hypersurfaces in a complex projective space
- On hypersurfaces of \(\mathbb{S}^2 \times \mathbb{S}^2\)
- Isoparametric hypersurfaces in complex hyperbolic spaces
- Hyperpolar actions on reducible symmetric spaces
- Positively curved cohomogeneity one manifolds and 3-Sasakian geometry
- Einstein manifolds
- Groupes reductifs
- Minimal submanifolds of low cohomogeneity
- A symmetry problem in potential theory
- Stationary isothermic surfaces in Euclidean 3-space
- Constant mean curvature spheres in homogeneous three-manifolds
- The index conjecture for symmetric spaces
- Totally geodesic submanifolds in exceptional symmetric spaces
- 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
- Isoparametric functions and exotic spheres
- Introduction to Smooth Manifolds
- Geometry of Hypersurfaces
- Duality of symmetric spaces and polar actions
- Cohomogeneity one actions on noncompact symmetric spaces of rank one
- Canonical Extension of Submanifolds and Foliations in Noncompact Symmetric Spaces
- Submanifolds and Holonomy
- Isoparametric Submanifolds of Hyperbolic Spaces
- Isoparametric surfaces in $E(\kappa,\tau)$-spaces
- COHOMOLOGY OF ARITHMETIC GROUPS - FIELDS MEDAL LECTURE
- p-ADIC GEOMETRY
- A nonisoparametric hypersurface with constant principal curvatures
- Lie Groups and Geometric Aspects of Isometric Actions
- The Isoparametric Story, a Heritage of \'{E}lie Cartan
- Lie groups beyond an introduction
- Schiffer problem and isoparametric hypersurfaces
- Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two
- Einstein hypersurfaces in irreducible symmetric spaces
- Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank
- Infinite families of manifolds of positive \(k\)th-intermediate Ricci curvature with \(k\) small
