On geometry of two dimensional surfaces in four dimensional Euclid space

Authors

Abdigappar Narmanov, National University of Uzbekistan, Tashkent, UzbekistanFollow
Bekzod Diyarov, National University of Uzbekistan, Tashkent, UzbekistanFollow

Abstract

Geometry of two-dimensional surfaces in E⁴ is an essential part of differential geometry and studied by many authors [4, 5, 6, 10]. In this paper, we give some surface in four dimensional Euclid space E⁴ with nonzero Gauss curvature which is a orbit of the system of two vector fields. Smoothness is the smoothness of the class C^∞.

First Page

262

Last Page

268

References

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Recommended Citation

Narmanov, Abdigappar and Diyarov, Bekzod (2023) "On geometry of two dimensional surfaces in four dimensional Euclid space," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 5: Iss. 4, Article 5.
DOI: https://doi.org/10.56017/2181-1318.1264