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On Formality of a Class of Compact Homogeneous Spaces

✍ Scribed by Zofia Stepien/snm>

Book ID
110394490
Publisher
Springer
Year
2002
Tongue
English
Weight
105 KB
Volume
93
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

On a class of compact homogeneous spaces
On a class of compact homogeneous spaces II
✍ Alexander Shchetinin πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 857 KB

Let K be a compact connected Lie group, L be a closed subgroup of K. It is well known that L is a subgroup of maximal rank of K if and only if the Euler characteristic of the manifold K/L is positive. The homotopy classification of such homogeneous spaces KIL in case L is connected was obtained in .

On a class of compact homogeneous spaces
On a class of compact homogeneous spaces I
✍ Alexander Shchetinin πŸ“‚ Article πŸ“… 1988 πŸ› Springer 🌐 English βš– 927 KB

Let K be a compact connected Lie group, L be a connected closed subgroup of K. It is well known that L is a subgroup of maximal rank of K if and only if the Euler characteristic of the manifold M = K/L is positive. Such homogeneous spaces M have been classified in [7,10]. However, their topological