Spin^c Manifolds and Complex Contact Structures
Moroianu, Andrei
HAL, hal-00125990 / Harvested from HAL
Text on HAL
In this paper we extend our notion of projectable spinors to the framework of Spin^c manifolds and deduce the basic formulas relating spinors on the base and the total space of Riemannian submersions with totally geodesic one-dimensional fibres. Some geometric applications concerning positive Kähler-Einstein complex contact manifolds (e.g. their characterisation as twistor spaces over positive quaternionic Kähler manifolds) are also given.
Publié le : 1998-07-05
Classification:  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00125990,
     author = {Moroianu, Andrei},
     title = {Spin^c Manifolds and Complex Contact Structures},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00125990}
}

Moroianu, Andrei. Spin^c Manifolds and Complex Contact Structures. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00125990/