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Information × Registration Number 0219U100979, 0116U003897 , R & D reports Title Geometry and topology of submanifolds in spaces with special structures. popup.stage_title Head Yampolskyy Olexandr L., Доктор фізико-математичних наук Registration Date 17-04-2019 Organization V.N. Karazin Kharkiv National University popup.description2  The object of the study is the subspecies in the Euclidean, Riemann,subrhmanic and affine spaces, Lie groups, in particular, curves and hypersurface of a constant inclination, caustic, permanent hyperplane the horizontal mean curvature, the rotational surface, the affine hypersurface, Becklund transformation. The purpose of the work is to study the connections between geometric and topological properties of subsymonds in the Riemann, Subrian and Athenian spaces. The curves and hypersurfaces of a steady inclination in homogeneous spaces are described; An affine classification of points of three-dimensional surfaces in a six-dimensional Euclidean space is given; Three-dimensional Euclidean space surfaces described in the catalog are described; the criteria for preserving the horizontal mean curvature of the hypersurface in the nilpotent Lie group with subrimal structure; the solution of the inverse isoperimetric problem for convex surfaces of rotation; described flat geodesics on the affine hypersurface; described pseudospheric surfaces in the multidimensional. Euclidean space that permits a degenerate Bianca or Bucklund transform. Product Description popup.authors Шугайло О.П. Yampolskyy Olexandr L. popup.nrat_date 2020-04-02 Close