D. G. Azov, “Estimation of bijective projection area of a surface with negative curvature”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2013, Volume 5, Issue 1,Pages <nobr>4

This article is cited in 1 paper

Mathematics

Estimation of bijective projection area of a surface with negative curvature

D. G. Azov

South Ural State University

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.

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

UDC: 514.772

Received: 07.11.2012