Geodesic mapping onto K\'ahlerian space of the first kind
| Autor: | Zlatanović, Milan, Hinterleitner, Irena, Najdanović, Marija |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Czechoslovak Mathematical Journal, 64 (139) (2014), 1113-1122 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10587-014-0156-z |
| Popis: | 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. Comment: 8 pages |
| Databáze: | arXiv |
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