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Information × Registration Number 0312U003327, 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 Зовнішня геометрія регулярних підмноговидів ріманових просторів. Багатогранники евклідового простору 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 The stability of minimal submanifolds in Riemanian spaces is studied. A multy-dimensional analogue of the Hilbert theorem on the non-existence of regular immersions of the whole Lobachevsky space into Euclidean space is proved. Extrinsic-geometrcal conditions are found, which are necessary and sufficient for a two-dimensional surface of four-dimensional Euclidean space to be contained in a three-dimensional hypersphere. 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