Geodesic mapping onto Kählerian space of the first kind

Abstract

In the present paper a generalized Kählerian space $\mathbb{G}\underset{1}{\mathbb{K}}{}_N$ of the first kind is considered, as a generalized Riemannian space ${\mathbb{GR}}_N$ with almost complex structure $F_i^h$, that is covariantly constant with respect to the first kind of covariant derivative. Using the non-symmetric metric tensor we find necessary and sufficient conditions for a geodesic mapping $f:{\mathbb{GR}}_N\to \mathbb{G}\underset{1}{\bar{\mathbb{K}}}{}_N$ with respect to the four kinds of covariant derivatives.

8 pages

References in corpus (2)

• Gravitational Theory, Galaxy Rotation Curves and Cosmology without Dark Matter
• On geodesic mappings of manifolds with affine connection