Estimation of bijective projection area of a surface with negative curvature

Authors

  • Dmitry Georgievich Azov South Ural State University

Keywords:

surfaces with negative Gaussian curvature, hyperbolic Monge–Ampere equation, estimation of bijective projection area,

Abstract

The article deals with a surface of negative Gaussian curvature which is bijectively projected onto a circle. It provides sufficient conditions of existence of an estimate for the circle radius.

Author Biography

Dmitry Georgievich Azov, South Ural State University

Associate Professor, Department of General Mathematics

Published

2013-04-05

Issue

Section

Mathematics