Invariant CR structures on compact homogeneous manifolds. (English) Zbl 1053.32021
A CR manifold is homogeneous if it admits a transitive Lie group of CR automorphisms [cf. e.g. H. Azad, A. Huckleberry and W. Richthofer, J. Reine Angew. Math. 358, 125–154 (1985; Zbl 0553.32016)]. See also A. Krüger [Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 18, No. 2, 193–212 (1991; Zbl 0787.32022)] and R. Lehmann and D. Feldmüller [Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 14, No. 4, 513–525 (1987; Zbl 0658.32014)].
The authors provide a classification of simply connected compact homogeneous nondegenerate CR manifolds \(G/L\) of CR codimension one.
The authors provide a classification of simply connected compact homogeneous nondegenerate CR manifolds \(G/L\) of CR codimension one.
Reviewer: Sorin Dragomir (Potenza)
MSC:
| 32V05 | CR structures, CR operators, and generalizations |
| 53C30 | Differential geometry of homogeneous manifolds |
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
