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Information × Registration Number 0207U000942, 0101U009036 , R & D reports Title Geometry of submanifolds. Geometrical and topological methods in dynamical systems theory and algebra. popup.stage_title Head Aminov Yuriy Akhmetovich, Registration Date 15-02-2007 Organization B.Verkin Institute for Low Temperature Physics and Engineering of National Academy of Science of Ukraine popup.description2 New properties of general and regular surfaces and submanifolds in Euclidean space are found. It is solved the problem of reconstruction of closed surfaces of rotations in four-dimensional Euclidean space from a given particular closed Gauss image. The distribution of the Gauss curvature of symetrons is discussed. One D.Bleecker theorem is generalized and particular linear bendings of right polyhedra with increasing volume are constructed. New theorems are proved about the possibility to inscribe a multidimensional simplex into a cube of the same dimension. New formulae for critical loads of particular thin elastic shells are obtained. Product Description popup.authors popup.nrat_date 2020-04-02 Close