Kaehler manifolds admitting a flat complex conformal connection

Details Kaehler manifolds admitting a flat complex conformal connection Kaehler manifolds admitting a flat complex conformal connection

2006-06-02

arxiv.org/abs/math/0606054v1

Kodai Math. J., 30 (2007), 2, 237-245.

Mathematics

Differential Geometry

8 pages

Scientific paper

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

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