A note on the CR cohomology of Levi-Flat minimal orbits in complex flag manifolds

Details A note on the CR cohomology of Levi-Flat minimal orbits in complex flag manifolds A note on the CR cohomology of Levi-Flat minimal orbits in complex flag manifolds

2006-01-25

arxiv.org/abs/math/0601617v2

Rend. Ist. Mat. Univ. Trieste 37, No. 1-2, 283-293 (2005)

Mathematics

Complex Variables

7 pages, AMS-LaTeX to appear in Rend. Ist. Mat. Univ. Trieste v2: added reference in introduction + minor revision

Scientific paper

We prove a relation between the $\bar\partial_M$ cohomology of a minimal
orbit $M$ of a real form $G_0$ of a complex semisimple Lie group $G$ in a flag
manifold $G/Q$ and the Dolbeault cohomology of the Matsuki dual open orbit $X$
of the complexification $K$ of a maximal compact subgroup $K_0$ of $G_0$, under
the assumption that $M$ is Levi-flat.

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