Conditions on a Surface F² is subset of Eⁿ to lie in E⁴

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2013
• Main Authors: Aminov, Yu.A., Nasiedkina, Ia.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106742
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Conditions on a Surface F² is subset of Eⁿ to lie in E⁴ / Yu.A. Aminov, Ia. Nasiedkina // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 2. — С. 127-149. — Бібліогр.: 13 назв. — англ.

We consider a surface F² in Eⁿ with a non-degenerate ellipse of normal curvature whose plane passes through the corresponding surface point. The definition of three types of points is given in dependence of the position of the point relatively to the ellipse. If in the domain D is subset of F² all t...