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arXiv · 1305.3776

Geodesic mapping onto K\"ahlerian space of the first kind

Milan Zlatanović·Irena Hinterleitner·Marija Najdanović
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Abstract

In the present paper a generalized K\"ahlerian 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 $F^h_i$, 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 $f:\mathbb{GR}_N\to \mathbb{G}\underset 1 {\mathbb{\bar{K}}}{}_N$ with respect to the four kinds of covariant derivatives.

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Milan Zlatanović, Irena Hinterleitner, Marija Najdanović. 2013-05-16. Geodesic mapping onto K\"ahlerian space of the first kind. https://doi.org/10.1007/s10587-014-0156-z

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