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Alexander  Yampolsky
Alexander Yampolsky
V.N. Karazin Kharkov National University
Verified email at karazin.ua
Title
Cited by
Cited by
Year
Riemannian geometry of fibre bundles
AA Borisenko, AL Yampol'skii
Russian Mathematical Surveys 46 (6), 55, 1991
271991
A totally geodesic property of Hopf vector fields
A Yampolsky
Acta Mathematica Hungarica 101 (1-2), 93-112, 2003
222003
On geodesics of tangent bundle with fiberwise deformed Sasaki metric over Kählerian manifold
A Yampolsky
Журнал математической физики, анализа, геометрии, 117-189, 2012
192012
On the mean curvature of a unit vector field
A Yampolsky
arXiv preprint math/0503567, 2005
172005
On the intrinsic geometry of a unit vector field
A Yampolsky
arXiv preprint math/0503565, 2005
142005
Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds
A Yampolsky
arXiv preprint math/0503560, 2005
142005
On the intrinsic geometry of a unit vector field
A Yampolsky
arXiv preprint math/0503565, 2005
142005
The curvature of the Sasaki metric of tangent sphere bundles
AL Yampol'skii
Journal of Soviet Mathematics 48, 108-117, 1990
14*1990
On the Sasaki metric of the normal bundle of a submanifold in a Riemannian space
AA Borisenko, AL Yampol'skiĭ
Mathematics of the USSR-Sbornik 62 (1), 157, 1989
141989
The sectional curvature of the Sasaki metric of T1Mn
AA Borisenko, AL Yampol'skii
Journal of Soviet Mathematics 51, 2503-2508, 1990
131990
On the geometry of tangent sphere bundles of Riemannian manifolds
AL Yampolsky
Ukrain. Geom. Sb 24, 129-132, 1981
111981
On special types of minimal and totally geodesic unit vector fields
A Yampolsky
arXiv preprint math/0510002, 2005
102005
Transverse totally geodesic submanifolds of the tangent bundle
MTK Abbassi, A Yampolsky
arXiv preprint math/0503561, 2005
92005
Generalized helices in three-dimensional Lie groups
A Yampolsky, A Opariy
Turkish Journal of Mathematics 43 (3), 1447-1455, 2019
72019
On extrinsic geometry of unit normal vector fields of Riemannian hyperfoliations
A Yampolsky
arXiv preprint math/0503566, 2005
52005
On characterisation of projections of geodesics of Sasaki metric TCPn and T1CPn
A Yampolsky
Ukr. Geom. Sbornik 34, 121-126, 1991
51991
Cylindricity of tangent bundles of strongly parabolic metrics and strongly parabolic surfaces
AA Borisenko, AL Yampol'skii
Journal of Soviet Mathematics 51, 2197-2212, 1990
51990
On the Sasaki metric of the tangent and normal bundle
AA Borisenko, AL Yampol'skii
Doklady Akademii Nauk 294 (1), 19-22, 1987
51987
Invariant totally geodesic unit vector fields on three-dimensional Lie groups
A Yampolsky
arXiv preprint math/0512478, 2005
42005
On properties of the Reeb vector field of trans-Sasakian structure
A Yampolsky
Turkish Journal of Mathematics 46 (6), 2321-2334, 2022
22022
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