Basic equations of G -almost geodesic mappings of the second type, which have the property of reciprocity

Mića S. Stanković; Milan L. Zlatanović; Nenad O. Vesić

Czechoslovak Mathematical Journal (2015)

  • Volume: 65, Issue: 3, page 787-799
  • ISSN: 0011-4642

Abstract

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We study G -almost geodesic mappings of the second type → θ π 2 ( e ) , θ = 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 → θ π 2 ( e ) , θ = 1 , 2 . For a mapping → θ π 2 ( e , F ) , θ = 1 , 2 , we determine the basic equations which generate them.

How to cite

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Stanković, Mića S., Zlatanović, Milan L., and Vesić, Nenad O.. "Basic equations of $G$-almost geodesic mappings of the second type, which have the property of reciprocity." Czechoslovak Mathematical Journal 65.3 (2015): 787-799. <http://eudml.org/doc/271804>.

@article{Stanković2015,
abstract = {We study $G$-almost geodesic mappings of the second type $\underset\{\theta \}\{\rightarrow \}\pi _2(e)$, $\theta =1,2$ 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 $\underset\{\theta \}\{\rightarrow \}\pi _2(e)$, $\theta =1,2$. For a mapping $\underset\{\theta \}\{\rightarrow \}\pi _2(e,F)$, $\theta =1,2$, we determine the basic equations which generate them.},
author = {Stanković, Mića S., Zlatanović, Milan L., Vesić, Nenad O.},
journal = {Czechoslovak Mathematical Journal},
keywords = {non-symmetric affine connection; almost geodesic mapping; $G$-almost geodesic mapping; property of reciprocity; almost geodesic mapping of the second type},
language = {eng},
number = {3},
pages = {787-799},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Basic equations of $G$-almost geodesic mappings of the second type, which have the property of reciprocity},
url = {http://eudml.org/doc/271804},
volume = {65},
year = {2015},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 65
IS - 3
SP - 787
EP - 799
AB - We study $G$-almost geodesic mappings of the second type $\underset{\theta }{\rightarrow }\pi _2(e)$, $\theta =1,2$ 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 $\underset{\theta }{\rightarrow }\pi _2(e)$, $\theta =1,2$. For a mapping $\underset{\theta }{\rightarrow }\pi _2(e,F)$, $\theta =1,2$, we determine the basic equations which generate them.
LA - eng
KW - non-symmetric affine connection; almost geodesic mapping; $G$-almost geodesic mapping; property of reciprocity; almost geodesic mapping of the second type
UR - http://eudml.org/doc/271804
ER -

References

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