Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 41-49
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V. I. Oliker. The uniqueness of the solution in Christoffel and Minkowski problems for open surfaces. Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 41-49. http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a4/
@article{MZM_1973_13_1_a4,
author = {V. I. Oliker},
title = {The uniqueness of the solution in {Christoffel} and {Minkowski} problems for open surfaces},
journal = {Matemati\v{c}eskie zametki},
pages = {41--49},
year = {1973},
volume = {13},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a4/}
}
TY - JOUR
AU - V. I. Oliker
TI - The uniqueness of the solution in Christoffel and Minkowski problems for open surfaces
JO - Matematičeskie zametki
PY - 1973
SP - 41
EP - 49
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a4/
LA - ru
ID - MZM_1973_13_1_a4
ER -
%0 Journal Article
%A V. I. Oliker
%T The uniqueness of the solution in Christoffel and Minkowski problems for open surfaces
%J Matematičeskie zametki
%D 1973
%P 41-49
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a4/
%G ru
%F MZM_1973_13_1_a4
We prove uniqueness in the Minkowski problem for open surfaces with spherical image greater than a hemisphere. We extend the class of regions determined earlier by Volkov and the author in which the Christoffel problem has a unique solution.