Geometry of Two-Dimensional Surfaces in Space $${}^{\mathbf{2}}{\boldsymbol{R}_{\mathbf{5}}}$$

Аннотация

The article is devoted to study the geometry of a two-dimensional surface in a five-dimensional pseudo-Euclidean space. The study of the geometry of a five-dimensional pseudo-Euclidean space is appealing, because de Sitter space is realized on the sphere of this space. Galileo’s geometry appears in subspaces with an isotropic part. For the chosen two-dimensional surface, the first and second quadratic forms of the surfaces are determined. A two-dimensional surface is said to be complete, if it is not immersed in a four-dimensional plane. The existence of a complete spherically univalent two-dimensional surface is proved.

Темы

Идентификаторы

DOI

10.1134/s1995080223040030

Цитирования и источники