We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the determination of a conformal immersion by its Gauss map.
A note on surfaces with prescribed oriented Euclidean Gauss map. Sa Earp, Ricardo; Toubiana, Eric · International Journal of Mathematics and Mathematical ...
Jan 1, 2000 · Our approach depends on geometric quantities, that is, the hyperbolic Gauss map G and formulae obtained in hyperbolic space. We use the idea ...
[PDF] A note on surfaces with prescribed oriented Euclidean Gauss ...
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A note on surfaces with prescribed oriented Euclidean Gauss map · R. Earp, E. Toubiana · Published in International Journal of… 2005 · Mathematics.
A note on surfaces with prescribed oriented Euclidean Gauss map · TAGS · curvature · hyperbolic · surfaces · euclidean · gauss · immersion · conformal ...
We use the idea that the Euclidean Gauss map and the hyperbolic Gauss map with some compatibility relation determine a conformal immersion, proved in a previous ...
We give a condition for the existence of a surface in the n-dimensional. Euclidean unit sphere Sn such that the Gauss map is G. Under this condition, if M is a ...
Feb 10, 2019 · Minimal surfaces in Euclidean space. In this section we describe the classical theory of minimal surfaces in Euclidean spaces,.
Nov 27, 2020 · In this paper we study the Gauss map of surfaces in 3-dimensional Heisenberg group using the Gans model of the hyperbolic plane.
Introduction. Given an immersion i : M -» E3 of a compact orientable surface into Eu- clidean 3-space, there is a unique associated exact Lagrangian ...