Hermitian Manifolds with Flat Associated Connection

Details Hermitian Manifolds with Flat Associated Connection Hermitian Manifolds with Flat Associated Connection

2011-08-26

arxiv.org/abs/1108.5336v2

Kodai Math. J., 29(2006), 281-298

Mathematics

Differential Geometry

This paper has been withdrawn by the authors because of an involuntary violation of the copyright agreement of Kodai Math. Jou

Scientific paper

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 Kaehler manifolds as well as Hermitian surfaces with vanishing associated conformal curvature tensor are characterized as locally conformal to a Kaehler manifold of constant holomorphic sectional curvatures.

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