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Information × Registration Number 0312U003330, 0107U000947 , R & D reports Title Geometric and topologic properties "in large" of surfaces and Riemannian spaces with curvature of constant and varied sign and their applications popup.stage_title Геометричні властивості шарувань та сімей підмноговидів в ріманових просторах Head Aminov Yuriy Akhmetovich, Registration Date 28-03-2012 Organization B.Verkin Institute for Low Temperature Physics and Engineering of National Academy of Science of Ukraine popup.description2 A problem conserning the reconstruction of an explicit submanifold of Euclidean space from its Grassmann image is solved. A Bianchi transformation is constructed for pseudo-spherical surfaces in the product space of sphere and straight line. An analogue of Stuck's theorem is proved, which states the contractibility of the universal covering of a manifold endowed with a foliation with uniformly contractible universal coverings of sheets. Group properties of antipodal polygons are discovered. An optimization problem for the form of a strongly convex shell under an extrinsic pressure is studied. Product Description popup.authors Бабенко В.І. Болотов Д.В. Горькавий В.О. Мілка А.Д. Медяник А.Г. popup.nrat_date 2020-04-02 Close