Geodesic
Geometry of sub–Riemannian manifolds equipped with a semimetric quarter–symmetric connection
Ufa mathematical journal, Tome 16 (2024) no. 2, pp. 26-35 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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