TY - JOUR
AU - Yu. A. Aminov
PY - 2019/01/25
Y2 - 2020/11/25
TI - On 2-dimensional surfaces in 3-dimensional and 4-dimensional Euclidean spaces.
Results and unsolved problems
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 71
IS - 1
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1416
AB - We present a survey of the results obtained for 2-dimensional surfaces in $E^3$ and $E^4$ and connected with the Gaussiancurvature and Gaussian torsion. In this connection, we consider the Monge –Amp´ere equations, obtain the generalizationsof Bernstein’s integral formula, and establish some lower estimates for the exterior diameter of surfaces in $E^3$.
ER -