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Information × Registration Number 0307U001652, 0106U001538 , R & D reports Title Geometry of manifolds and submanifolds popup.stage_title Геометрія груп Лі та їх підмноговидів Head Borisenko A, Registration Date 18-04-2007 Organization Kharkov National University named after V.N.Karazin popup.description2 The basic object of the research is Lie groups and submanifolds in them. Be considered isometric immersions of three- dimensional geometries, topology of sudle submanifolds, complex submanifolds with totally geodesic Grassman image, Gauss map of hypersurface in Lie groups. An aim of this work is the research of interconnections between geometrical characteristics of manifolds and its submanifolds. Methods of the research - geometry of Lie groups, Riemannian geometry, geometry of submanifolds, complex analysis. It was founded the conditions for two embedding submanifolds from compact space have s - connected intersection, it was given a description of totally geodesic vector fields in two- dimensional Lie groups in the space with constant curvature in the hypersurfaces view. It was given a classification of complex submanifolds with totally geodesic Grassman image, was found the structure of smooth oriented surface with constant mean curvature in Geizenberg group by harmonicGauss map. Product Description popup.authors popup.nrat_date 2020-04-02 Close