ON HOMOGENEOUS CR MANIFOLDS AND THEIR CR ALGEBRAS-Reference-Cited by-同舟云学术

ON HOMOGENEOUS CR MANIFOLDS AND THEIR CR ALGEBRAS

Published:2006-09 Issue:05n06 Volume:03 Page:1199-1214
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

ALTOMANI ANDREA¹,MEDORI COSTANTINO²

Affiliation:

1. Dipartimento di Matematica, II Università di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy

2. Dipartimento di Matematica, Università di Parma, Parco Area delle Scienze 53/A, 43100 Parma, Italy

Abstract

In this paper we show some results on homogeneous CR manifolds, proved by introducing their associated CR algebras. In particular, we give different notions of nondegeneracy (generalizing the usual notion for the Levi form) which correspond to geometrical properties for the corresponding manifolds. We also give distinguished equivariant CR fibrations for homogeneous CR manifolds. In the second part of the paper we apply these results to minimal orbits for the action of a real form of a semisimple Lie group Ĝ on a flag manifold Ĝ/Q.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887806001430

Reference21 articles.

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2. Compact homogeneous CR manifolds

3. Invariant CR structures on compact homogeneous manifolds

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