Search academic texts

Information × Registration Number 0211U009577, 0109U001454 , R & D reports Title Global geometry of submanifolds in Riemannian and Finslerian spaces. popup.stage_title Head Borisenko A., Registration Date 30-12-2011 Organization Kharkov National University named after V.N. Karazin popup.description2 The objects of the research are: evolutionary equations on Riemannian manifolds, submanifolds of fiber bundles, Lie groups, Finslerian manifolds, Grassmann manifolds. Particulary, Gaussian mean flow, unit vector fields, geometry of submanifolds in Finsler spaces and affine spaces, submanifolds in Heisenderg group, Grassmann image of rotation surface in E 4, geometric representation of the B-spline. The main goal is to study interrelations between geometrical characteristics of a manifold and its submanifold. The studied topics include: a hypersurface evolution under mean flow in Euclidean space with Gaussian density, examples of minimal totally geodesic in Euclidean space with Gaussian density, examples of minimal totally geodesic sections of the normal bundle, Jackobi vector fields on hypersurfaces in Finsler space, hypersurfaces of constant mean curvature in Heisenberg group with harmonic Gauss map, sectional curvature of Grassmann manifold along a Grassmann image of a ruled surface, B- spline approximation for surfaces in Eucledian space. Product Description popup.authors Ликова О Ямпольский О popup.nrat_date 2020-04-02 Close