On a class of compact homogeneous spaces. I

DOI10.1007/BF00133035zbMath0635.57025OpenAlexW4255774295MaRDI QIDQ1097553

Alexander Shchetinin

Publication date: 1988

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00133035

zbMATH Keywords

classification of compact connected simply connected homogeneous spaces of positive Euler characteristicextensions of homogeneous spacesrational homotopy classificationtransitive almost effective actions on compact connected simply connected manifolds of positive Euler characteristic

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differentiable structures in differential topology (57R55) Lie groups (22E99) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (5)

On a class of compact homogeneous spaces. II ⋮ Some New Homogeneous Einstein Metrics on Symmetric Spaces ⋮ On \(\delta \)-homogeneous Riemannian manifolds ⋮ Polar and coisotropic actions on Kähler manifolds ⋮ Compact homogeneous spaces and their generalizations

Cites Work

• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Characteristic Classes and Homogeneous Spaces, I
• On compact homogeneous spaces of positive Euler characteristic
• Tensor Products of Graded Algebras and Unique Factorization
• Kählerian Coset Spaces of Semisimple Lie Groups
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