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Information × Registration Number 0308U003058, 0106U001538 , R & D reports Title Geometry of manifolds and submanifolds popup.stage_title Геометрія фінслерових многовидів та підмноговидів афінного простору Head Borisenko A, Registration Date 26-02-2008 Organization Kharkov National University named after V.N.Karazin popup.description2 The main objects of investigation are Finsler manifolds and submanifolds of affine space. Convex hypersurfaces in Finsler - Hadamard spaces, the deformation of Sasaki metric, the classical Bianci transformation, mathematical splines, the grassmanian image of complex submanifolds are considered The goal of the work is the investigation of convex hypersurfaces in Finsler - Hadamard manifolds. The methods of investigation are Finsler geometry , Riemannian geometry, the geometry of Lie groups, Riemannian manifolds, geometry of bundles, pseudospherical submanifolds. The analogues of some theorems of Riemanian geometry and the deformation of Sasaki metric for Hermitian locally symmetric base manifold are obtained. The result of Yu.A.Aminov and A.Sim was generalized to even-dimensional pseudospherical submanifolds of H^n of the Euclidean space R^2n. The single expression for splines was obtained. Using this expression in the possibal to obtain the equations of composite surfaces, for example for polyhedras FINSLER GEOMETRY , GRASSMAN IMAGE, LIE GROUP, SASAKI METRIC, SPLINES, BIANCI TRANSFORMATION Product Description popup.authors popup.nrat_date 2020-04-02 Close