Basic equations of $G$-almost geodesic mappings of the second type, which have the property of reciprocity
Czechoslovak Mathematical Journal, Tome 65 (2015) no. 3, pp. 787-799
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We study $G$-almost geodesic mappings of the second type $\underset \theta \to \pi _2(e)$, $\theta =1,2$ between non-symmetric affine connection spaces. These mappings are a generalization of the second type almost geodesic mappings defined by N. S. Sinyukov (1979). We investigate a special type of these mappings in this paper. We also consider $e$-structures that generate mappings of type $\underset \theta \to \pi _2(e)$, $\theta =1,2$. For a mapping $\underset \theta \to \pi _2(e,F)$, $\theta =1,2$, we determine the basic equations which generate them.
DOI :
10.1007/s10587-015-0208-z
Classification :
53B05, 53B20, 53C15
Keywords: non-symmetric affine connection; almost geodesic mapping; $G$-almost geodesic mapping; property of reciprocity; almost geodesic mapping of the second type
Keywords: non-symmetric affine connection; almost geodesic mapping; $G$-almost geodesic mapping; property of reciprocity; almost geodesic mapping of the second type
@article{10_1007_s10587_015_0208_z,
author = {Stankovi\'c, Mi\'ca S. and Zlatanovi\'c, Milan L. and Vesi\'c, Nenad O.},
title = {Basic equations of $G$-almost geodesic mappings of the second type, which have the property of reciprocity},
journal = {Czechoslovak Mathematical Journal},
pages = {787--799},
publisher = {mathdoc},
volume = {65},
number = {3},
year = {2015},
doi = {10.1007/s10587-015-0208-z},
mrnumber = {3407605},
zbl = {06537692},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0208-z/}
}
TY - JOUR AU - Stanković, Mića S. AU - Zlatanović, Milan L. AU - Vesić, Nenad O. TI - Basic equations of $G$-almost geodesic mappings of the second type, which have the property of reciprocity JO - Czechoslovak Mathematical Journal PY - 2015 SP - 787 EP - 799 VL - 65 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0208-z/ DO - 10.1007/s10587-015-0208-z LA - en ID - 10_1007_s10587_015_0208_z ER -
%0 Journal Article %A Stanković, Mića S. %A Zlatanović, Milan L. %A Vesić, Nenad O. %T Basic equations of $G$-almost geodesic mappings of the second type, which have the property of reciprocity %J Czechoslovak Mathematical Journal %D 2015 %P 787-799 %V 65 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0208-z/ %R 10.1007/s10587-015-0208-z %G en %F 10_1007_s10587_015_0208_z
Stanković, Mića S.; Zlatanović, Milan L.; Vesić, Nenad O. Basic equations of $G$-almost geodesic mappings of the second type, which have the property of reciprocity. Czechoslovak Mathematical Journal, Tome 65 (2015) no. 3, pp. 787-799. doi: 10.1007/s10587-015-0208-z
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