Hermitian manifolds with flat associated connection
Ganchev, G. ; Kassabov, O.
Kodai Math. J., Tome 29 (2006) no. 1, p. 281-298 / Harvested from Project Euclid
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A local classification of the Hermitian manifolds with flat associated connection is given. Hermitian manifolds admitting locally a conformal metric with flat associated connection are characterized by a curvature identity. Locally conformal Kähler manifolds as well as Hermitian surfaces with vanishing associated conformal curvature tensor are characterized as locally conformal to a Kähler manifold of constant holomorphic sectional curvatures.
Publié le : 2006-06-14
Classification:  
@article{1151936442,
     author = {Ganchev, G. and Kassabov, O.},
     title = {Hermitian manifolds with flat associated connection},
     journal = {Kodai Math. J.},
     volume = {29},
     number = {1},
     year = {2006},
     pages = { 281-298},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1151936442}
}

Ganchev, G.; Kassabov, O. Hermitian manifolds with flat associated connection. Kodai Math. J., Tome 29 (2006) no. 1, pp.  281-298. http://gdmltest.u-ga.fr/item/1151936442/