On 2-dimensional surfaces in 3-dimensional and 4-dimensional Euclidean spaces. Results and unsolved problems

  • Yu. A. Aminov

Abstract

We present a survey of the results obtained for 2-dimensional surfaces in E3 and E4 and connected with the Gaussian curvature and Gaussian torsion. In this connection, we consider the Monge –Amp´ere equations, obtain the generalizations of Bernstein’s integral formula, and establish some lower estimates for the exterior diameter of surfaces in E3.
Published
25.01.2019
How to Cite
Aminov, Y. A. “On 2-Dimensional Surfaces in 3-Dimensional and 4-Dimensional Euclidean spaces. Results and Unsolved Problems”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 1, Jan. 2019, pp. 3-36, https://umj.imath.kiev.ua/index.php/umj/article/view/1416.
Section
Research articles