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

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

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Complex Variables, Differential Geometry, 32L10; Secondary: 14M15, 32V30, 32L10 (Primary) 14M15, 32V30, 57T15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/220285

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601617
 http://arxiv.org/abs/math/0601617
 Rend. Ist. Mat. Univ. Trieste 37, No. 1-2, 283-293 (2005)

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arXiv