Four-dimensional almost Hermitian manifolds with vanishing Tricerri-Vanhecke Bochner curvature tensor

Details Four-dimensional almost Hermitian manifolds with vanishing Tricerri-Vanhecke Bochner curvature tensor Four-dimensional almost Hermitian manifolds with vanishing Tricerri-Vanhecke Bochner curvature tensor

2007-08-10

arxiv.org/abs/0708.1403v2

Mathematics

Differential Geometry

16 pages

Scientific paper

We study curvature properties of four-dimensional almost Hermitian manifolds
with vanishing Bochner curvature tensor as defined by Tricerri and Vanhecke. We
give local structure theorems for such Kaehler manifolds, and find out several
examples related to the theorems.

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