Infinitesimal first- and second-order deformations of ribbed surfaces of revolution, preserving the normal curvature or geodesic torsion of the boundary parallel
Matematičeskie zametki, Tome 10 (1971) no. 2, pp. 135-144
Citer cet article
N. G. Perlova. Infinitesimal first- and second-order deformations of ribbed surfaces of revolution, preserving the normal curvature or geodesic torsion of the boundary parallel. Matematičeskie zametki, Tome 10 (1971) no. 2, pp. 135-144. http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a2/
@article{MZM_1971_10_2_a2,
author = {N. G. Perlova},
title = {Infinitesimal first- and second-order deformations of ribbed surfaces of revolution, preserving the normal curvature or geodesic torsion of the boundary parallel},
journal = {Matemati\v{c}eskie zametki},
pages = {135--144},
year = {1971},
volume = {10},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a2/}
}
TY - JOUR
AU - N. G. Perlova
TI - Infinitesimal first- and second-order deformations of ribbed surfaces of revolution, preserving the normal curvature or geodesic torsion of the boundary parallel
JO - Matematičeskie zametki
PY - 1971
SP - 135
EP - 144
VL - 10
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a2/
LA - ru
ID - MZM_1971_10_2_a2
ER -
%0 Journal Article
%A N. G. Perlova
%T Infinitesimal first- and second-order deformations of ribbed surfaces of revolution, preserving the normal curvature or geodesic torsion of the boundary parallel
%J Matematičeskie zametki
%D 1971
%P 135-144
%V 10
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a2/
%G ru
%F MZM_1971_10_2_a2
Infinitesimal deformations of ribbed surfaces of revolution $S_n$ with preservation of the normal curvature $(A)$ or geodesic torsion $(B)$ of the boundary parallel are investigated. The following are proved: a convex surface $S_n$ is rigid under deformations $(A)$ and $(B)$; there are nonconvex surfaces $S_n$ that are nonrigid under deformations $(A)$ and $(B)$; any surface $S_n$ has second-order rigidity under deformations $(A)$; a surface $S_n$ that is nonrigid under these deformations.
