Перегляд за автором "Yampolsky, A."

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  • Invariant Totally Geodesic Unit Vector Fields on Three-Dimensional Lie Groups 
    Yampolsky, A. (Журнал математической физики, анализа, геометрии, 2007)
    We give a complete list of left-invariant unit vector fields on three-dimensional Lie groups equipped with a left-invariant metric that generate a totally geodesic submanifold in the unit tangent bundle of a group equipped ...
  • On Geodesics of Tangent Bundle with Fiberwise Deformed Sasaki Metric over Kählerian Manifold 
    Yampolsky, A. (Журнал математической физики, анализа, геометрии, 2012)
    We propose a fiber-wise deformation of the Sasaki metric on slashed and unit tangent bundles over the Kalerian manifold based on the Berger deformation of metric on a unit sphere. The geodesics of this metric have different ...
  • Powers of the curvature operator of space forms and geodesics of the tangent bundle 
    Sakharova, E.; Yampolsky, A. (Український математичний журнал, 2004)
    It is well known that if Г is a geodesic line of the tangent (sphere) bundle with Sasaki metric of a locally symmetric Riemannian manifold, then all geodesic curvatures of the projected curve λ=π₁₄₆₃₋₀₁ Г are constant. In ...
  • Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold 
    Yampolsky, A. (Журнал математической физики, анализа, геометрии, 2005)
    We give a full description of totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold of constant curvature and present a new class of a cylinder-type totally geodesic submanifolds in the general case.