Geodesic
Geometry of sub--Riemannian manifolds equipped with a semimetric quarter--symmetric connection
Ufa mathematical journal, Tome 16 (2024) no. 2, pp. 26-35

Voir la notice de l'article provenant de la source Math-Net.Ru

On a sub-Riemannian manifold we introduce a semimetric quarter-symmetric connection by defining intrinsic metric connection and two structural endomorphisms preserving the distribution on a sub-Riemannian manifold. We find conditions ensuring the metric property of the introduced connection. We clarify the nature of the structural endomorphisms of semimetric connection consistent with a sub-Riemannian quasi-static structure defined on non-holonomic Kenmotsu manifold and on almost quasi-Sasakian manifold. We find conditions, under which the mentioned manifolds are Einstein manifolds with respect to the quarter-symmetric connection.
Keywords: quarter-symmetric connection, sub-Riemannian quasi-static structure, non-holonomic Kenmotsu manifold, almost quasi-Sasakian manifold. 
@article{UFA_2024_16_2_a2,
     author = {A. V. Bukusheva and S. V. Galaev},
     title = {Geometry of {sub--Riemannian} manifolds equipped with a semimetric quarter--symmetric connection},
     journal = {Ufa mathematical journal},
     pages = {26--35},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2024_16_2_a2/}
}
TY  - JOUR
AU  - A. V. Bukusheva
AU  - S. V. Galaev
TI  - Geometry of sub--Riemannian manifolds equipped with a semimetric quarter--symmetric connection
JO  - Ufa mathematical journal
PY  - 2024
SP  - 26
EP  - 35
VL  - 16
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UFA_2024_16_2_a2/
LA  - en
ID  - UFA_2024_16_2_a2
ER  - 
%0 Journal Article
%A A. V. Bukusheva
%A S. V. Galaev
%T Geometry of sub--Riemannian manifolds equipped with a semimetric quarter--symmetric connection
%J Ufa mathematical journal
%D 2024
%P 26-35
%V 16
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UFA_2024_16_2_a2/
%G en
%F UFA_2024_16_2_a2
A. V. Bukusheva; S. V. Galaev. Geometry of sub--Riemannian manifolds equipped with a semimetric quarter--symmetric connection. Ufa mathematical journal, Tome 16 (2024) no. 2, pp. 26-35. http://geodesic.mathdoc.fr/item/UFA_2024_16_2_a2/