Matematičeskie zametki, Tome 20 (1976) no. 1, pp. 113-120
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L. I. Vorob'eva. Estimate of the upper bound on the Gaussian curvature of certain surfaces with boundary. Matematičeskie zametki, Tome 20 (1976) no. 1, pp. 113-120. http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a11/
@article{MZM_1976_20_1_a11,
author = {L. I. Vorob'eva},
title = {Estimate of the upper bound on the {Gaussian} curvature of certain surfaces with boundary},
journal = {Matemati\v{c}eskie zametki},
pages = {113--120},
year = {1976},
volume = {20},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a11/}
}
TY - JOUR
AU - L. I. Vorob'eva
TI - Estimate of the upper bound on the Gaussian curvature of certain surfaces with boundary
JO - Matematičeskie zametki
PY - 1976
SP - 113
EP - 120
VL - 20
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a11/
LA - ru
ID - MZM_1976_20_1_a11
ER -
%0 Journal Article
%A L. I. Vorob'eva
%T Estimate of the upper bound on the Gaussian curvature of certain surfaces with boundary
%J Matematičeskie zametki
%D 1976
%P 113-120
%V 20
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a11/
%G ru
%F MZM_1976_20_1_a11
In this article it is shown that if S is a complete, regular (of class $C^4$) surface with geodesic boundary along which the normal curvature does not change sign, then the Gaussian curvature of the surface satisfies the condition: $\sup\limits_SK\ge0$.
