Matematičeskie zametki, Tome 19 (1976) no. 1, pp. 123-132
Citer cet article
I. Kh. Sabitov. Possible generalizations of the Minagawa–Rado Lemma on the rigidity of a surface of revolution with a fixed parallel. Matematičeskie zametki, Tome 19 (1976) no. 1, pp. 123-132. http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a14/
@article{MZM_1976_19_1_a14,
author = {I. Kh. Sabitov},
title = {Possible generalizations of the {Minagawa{\textendash}Rado} {Lemma} on the rigidity of a~surface of revolution with a~fixed parallel},
journal = {Matemati\v{c}eskie zametki},
pages = {123--132},
year = {1976},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a14/}
}
TY - JOUR
AU - I. Kh. Sabitov
TI - Possible generalizations of the Minagawa–Rado Lemma on the rigidity of a surface of revolution with a fixed parallel
JO - Matematičeskie zametki
PY - 1976
SP - 123
EP - 132
VL - 19
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a14/
LA - ru
ID - MZM_1976_19_1_a14
ER -
%0 Journal Article
%A I. Kh. Sabitov
%T Possible generalizations of the Minagawa–Rado Lemma on the rigidity of a surface of revolution with a fixed parallel
%J Matematičeskie zametki
%D 1976
%P 123-132
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a14/
%G ru
%F MZM_1976_19_1_a14
A general necessary and sufficient criterion is established for the rigidity of a surface of revolution $S\in C^1$ under the condition of a fixed parallel. Also two simple sufficient criteria for this property are given. It is shown by an example that this property does not hold for $S\in C^1$ in the general case.
