On the topology of the natural bundle for compact homogeneous spaces

V. V. Gorbatsevich

Izvestiya. Mathematics , Tome 71 (2007) no. 3, pp. 449-475.

Résumé

We study the topological properties of compact homogeneous manifolds using the natural bundle as a main construction. We show how to calculate the cohomology of a compact homogeneous manifold considered up to a finite covering. The topology of various special classes of compact homogeneous manifolds is also studied.

Détail

Keywords: homogeneous space, natural fibration
Mots-clés : Cartan algebra.

Bibliographie

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