Interpretation of de Sitter space of second kind

Authors

Abdulaziz Artikbaev, Tashkent State Transport University, Tashkent, UzbekistanFollow
Botirjon Mamadaliyev, Fergana State University, Fergana, UzbekistanFollow

Abstract

In a five-dimensional pseudo-Euclidean space of index two, the geometry on its sphere is studied. The equivalence of the geometry on a sphere of imaginary radius on de Sitter space is shown. The interpretation of the geometry on a sphere of imaginary radius, inside the sphere of imaginary radius of the Minkowski four-dimensional space, is implemented. We study a curve in a five-dimensional pseudo-Euclidean space of index two and determine the membership condition of the curve to a sphere of imaginary radius.

First Page

221

Last Page

230

References

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Recommended Citation

Artikbaev, Abdulaziz and Mamadaliyev, Botirjon (2021) "Interpretation of de Sitter space of second kind," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 4: Iss. 4, Article 8.
DOI: https://doi.org/10.56017/2181-1318.1208