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A class of submanifolds of homogeneous reductive spaces

✍ Scribed by V. I. Marmazeev


Publisher
SP MAIK Nauka/Interperiodica
Year
1981
Tongue
English
Weight
263 KB
Volume
29
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


Naturally reductive Riemannian homogeneo
✍ Setsuo Nagai πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 515 KB

We prove that the universal coveting spaces of the genetic submanifolds MCk,...,m0 of CP~ and Mhk ,...,r~o of CHn are naturally reductive homogeneous spaces by determining explicitly tensor fields defining naturally reductive homogeneous structures on them.

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✍ 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 .

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✍ 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