Decomposition of the covariant derivative of the curvature tensor of a pseudo-Kählerian manifold

Details Decomposition of the covariant derivative of the curvature tensor of a pseudo-Kählerian manifold Decomposition of the covariant derivative of the curvature tensor of a pseudo-Kählerian manifold

2010-10-05

arxiv.org/abs/1010.0861v1

Mathematics

Differential Geometry

20 pages

Scientific paper

The decompositions of the curvature tensors of pseudo-Riemannian and
pseudo-K\"ahlerian manifolds are reviewed. The known decomposition of the
covariant derivative of the curvature tensor of a pseudo-Riemannian manifold is
refined. A decomposition of the covariant derivative of the curvature tensor of
a pseudo-K\"ahlerian manifolds is obtained.

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