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0213U004720,
0112U003555
,
Isometric immersions of metrics and extrinsic-geometrical properties of surfaces in spaces of constant curvatures
Aminov Yuriy Akhmetovich,
25-12-2013
B.Verkin Institute for Low Temperature Physics and Engineering of National Academy of Science of Ukraine
Theorems on the existence of polynomial solutions for Monge-Amper equations with polynomial right-hand side are proved. Theorems on the reduction of codimension for submanifolds of many-dimensional Euclidean space are proved. Necessary and sufficient conditions for the existence of a ruled surface in a many-dimensional Euclidean space with a given Grassmann image are derived. Theorems on the existence of umbilic points for codimension one foliations of the three-dimensional sphere are proved.
Болотов Дмитро Валерійович
Горькавий Василь Олексійович
Насєдкіна Яна Сергіївна
2020-04-02
Updated: 2025-12-07
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