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math.DG2010
Geometric Realizability of Covariant Derivative Kähler Tensors for almost Pseudo-Hermitian and almost Para-Hermitian Manifolds
Miguel Brozos-Vázquez, Eduardo García-Río, Peter Gilkey +1
The covariant derivative of the Kähler form of an almost pseudo-Hermitian or of an almost para-Hermitian manifold satisfies certain algebraic relations. We show, conversely, that a…
math.DG2010★ 3 cited
Kaehler and para-Kaehler curvature Weyl manifolds
Peter Gilkey, Stana Nikcevic
We show that the Weyl structure of an almost-Hermitian Weyl manifold of dimension at least 6 is trivial if the associated curvature operator satisfies the Kaehler identity. Similar…