Kähler-Weyl manifolds of dimension 4

Details Kähler-Weyl manifolds of dimension 4 Kähler-Weyl manifolds of dimension 4

2011-09-21

arxiv.org/abs/1109.4532v1

Mathematics

Differential Geometry

Scientific paper

We determine the space of algebraic pseudo-Hermitian K\"ahler-Weyl curvature
tensors and the space of para-Hermitian K\"ahler-Weyl curvature tensors in
dimension 4 and show that every algebraic possibility is geometrically
realizable. We establish the Gray identity for pseudo-Hermitian Weyl manifolds
and for para-Hermitian Weyl manifolds in arbitrary dimension.

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