Kähler manifolds admitting a flat complex conformal connection

Ganchev, Georgi; Mihova, Vesselka

Kodai Math. J., Tome 30 (2007) no. 1, p. 237-245 / Harvested from Project Euclid

Résumé

We prove that any Kähler manifold admitting a flat complex conformal connection is a Bochner-Kähler manifold with special scalar distribution and zero geometric constants. Applying the local structural theorem for such manifolds we obtain a complete description of the Kähler manifolds under consideration.

Publié le : 2007-06-14
Classification:

@article{1183475514,
     author = {Ganchev, Georgi and Mihova, Vesselka},
     title = {K\"ahler manifolds admitting a flat complex conformal connection},
     journal = {Kodai Math. J.},
     volume = {30},
     number = {1},
     year = {2007},
     pages = { 237-245},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183475514}
}

Ganchev, Georgi; Mihova, Vesselka. Kähler manifolds admitting a flat complex conformal connection. Kodai Math. J., Tome 30 (2007) no. 1, pp.  237-245. http://gdmltest.u-ga.fr/item/1183475514/