Examples of manifolds which are homogeneous spaces of Lie groups of arbitrarily large dimension

DOI10.1007/BF01168679zbMath0314.57026OpenAlexW2076631052WikidataQ115393968 ScholiaQ115393968MaRDI QIDQ1220751

Pierre De la Harpe

Publication date: 1975

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154321

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Triangulating manifolds (57Q15) Noncompact Lie groups of transformations (57S20)

Cites Work

• About interactions between Banach-Lie groups and finite dimensional manifolds
• Principal fibre bundles with the 1-dimensional toroidal group
• Lie algebras with subalgebras of co-dimension one
• On the bound of the dimensions of the isometry groups of all possible riemannian metrics on an exotic sphere
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Homogeneous spaces with non vanishing Euler characteristics
• The extensibility of local Lie groups of transformations and groups on surfaces
• A global formulation of the Lie theory of transformation groups
• Simply Connected Homogeneous Spaces
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