A sufficient condition for congruency of orbits of Lie groups and some applications

DOI10.1007/S10711-012-9811-4zbMath1284.57031arXiv1212.3893OpenAlexW3104658625MaRDI QIDQ387579

Hiroshi Tamaru, Akira Kubo

Publication date: 23 December 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3893

zbMATH Keywords

parabolic subgroupsisometric actionscongruency of orbitssymmetric spaces of noncompact type

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Noncompact Lie groups of transformations (57S20)

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Three-dimensional solvsolitons and the minimality of the corresponding submanifolds ⋮ Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces ⋮ The Solvable Models of Noncompact Real Two-Plane Grassmannians and Some Applications ⋮ On the nonexistence of left-invariant Ricci solitons -- a conjecture and examples ⋮ A class of non-compact homogeneous Lagrangian submanifolds in complex hyperbolic spaces

Cites Work

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• Hyperpolar homogeneous foliations on symmetric spaces of noncompact type
• Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds
• Homogeneous codimension one foliations on noncompact symmetric spaces.
• Cohomogeneity one actions on symmetric spaces of noncompact type
• Naive Lie Theory
• Lie groups beyond an introduction

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