Displaying similar documents to “On a Curvature Tensor of Kähler Type in an Almost Hermitian and Almost Para-hermitian Manifold”

On G 2 -manifolds

A. Kobotis, Ph.J. Xenos (1994)

Annales mathématiques Blaise Pascal

Similarity:

The conformal change of the metric of an almost Hermitian manifold applied to the antiholomorphic curvature tensor

Mileva Prvanović (2013)

Communications in Mathematics

Similarity:

By using the technique of decomposition of a Hermitian vector space under the action of a unitary group, Ganchev [2] obtained a tensor which he named the Weyl component of the antiholomorphic curvature tensor. We show that the same tensor can be obtained by direct application of the conformal change of the metric to the antiholomorphic curvature tensor. Also, we find some other conformally curvature tensors and examine some relations between them.

Pseudo-Bochner curvature tensor on Hermitian manifolds

Koji Matsuo (1999)

Colloquium Mathematicae

Similarity:

Our main purpose of this paper is to introduce a natural generalization B H of the Bochner curvature tensor on a Hermitian manifold M provided with the Hermitian connection. We will call B H the pseudo-Bochner curvature tensor. Firstly, we introduce a unique tensor P, called the (Hermitian) pseudo-curvature tensor, which has the same symmetries as the Riemannian curvature tensor on a Kähler manifold. By using P, we derive a necessary and sufficient condition for a Hermitian manifold to be...

Almost Hermitian surfaces with vanishing Tricerri-Vanhecke Bochner curvature tensor

Y. Euh, J. Lee, J. H. Park, K. Sekigawa, A. Yamada (2011)

Colloquium Mathematicae

Similarity:

We study the curvature properties of almost Hermitian surfaces with vanishing Bochner curvature tensor as defined by Tricerri and Vanhecke. Local structure theorems for such almost Hermitian surfaces are provided, and several examples related to these theorems are given.