The Cohomology of the Complex of G-Invariant Forms on G-Manifolds. II

Author: Losik M.V.

Source: Annals of Global Analysis and Geometry, Volume 15, Number 2, April 1997 , pp. 141-152(12)

Publisher: Springer

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Abstract:

The cohomology of G-manifolds of the type M=P \times_K(G/H), where G is a reductive Lie group, H and N are its closed subgroups, H is a normal subgroup of N, K=N/H, and P is a smooth principal K-bundle, are considered. In the case when the Lie algebras of H and N are reductive, the differential graded algebra C(M) introduced in the previous paper with the same title and having the same minimal model as one of the algebra of G-invariant forms on M is investigated. Moreover, the main theorem on the cohomology algebra of C(M) is proved under weaker conditions than those of the previous paper.

Keywords: cohomology; fiber bundle; -manifold; spectral sequence

Language: English

Document Type: Regular paper

Affiliations: 1: Saratov State University, Astrakhanskaya 83, 410056 Saratov, Russia (E-mail: losik@scnit.saratov.su)

Publication date: 1997-04-01