## Paraholomorphic cohomology groups of hyperbolic adjoint orbits.(English)Zbl 1439.53030

Summary: For a paracomplex manifold, we construct certain cohomology groups. The main purpose of this paper is to clarify a link between such cohomology groups of hyperbolic adjoint orbits and the de Rham cohomology groups of real flag manifolds. That establishes relation between a paraholomorphic invariant and a topological invariant.

### MSC:

 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C30 Differential geometry of homogeneous manifolds 57T15 Homology and cohomology of homogeneous spaces of Lie groups
Full Text: