Estimation of bijective projection area of a surface with negative curvature
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 1, pp. 4-7
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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.
@article{VYURM_2013_5_1_a0,
author = {D. G. Azov},
title = {Estimation of bijective projection area of a surface with negative curvature},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {4--7},
publisher = {mathdoc},
volume = {5},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2013_5_1_a0/}
}
TY - JOUR AU - D. G. Azov TI - Estimation of bijective projection area of a surface with negative curvature JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2013 SP - 4 EP - 7 VL - 5 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2013_5_1_a0/ LA - ru ID - VYURM_2013_5_1_a0 ER -
%0 Journal Article %A D. G. Azov %T Estimation of bijective projection area of a surface with negative curvature %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2013 %P 4-7 %V 5 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2013_5_1_a0/ %G ru %F VYURM_2013_5_1_a0
D. G. Azov. Estimation of bijective projection area of a surface with negative curvature. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 1, pp. 4-7. http://geodesic.mathdoc.fr/item/VYURM_2013_5_1_a0/