Infinitesimal rigidity of Euclidean submanifolds

@article{Dajczer1990,
abstract = {A submanifold $M^n$ of the Euclidean space $R^n$ is said to be infinitesimally rigid if any smooth variation which is isometric to first order is trivial. The main purpose of this paper is to show that local or global conditions which are well known to imply isometric rigidity also imply infinitesimal rigidity.},
author = {Dajczer, M., Rodriguez, L. L.},
journal = {Annales de l'institut Fourier},
keywords = {infinitesimally rigid; isometric rigidity},
language = {eng},
number = {4},
pages = {939-949},
publisher = {Association des Annales de l'Institut Fourier},
title = {Infinitesimal rigidity of Euclidean submanifolds},
url = {http://eudml.org/doc/74906},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Dajczer, M.
AU - Rodriguez, L. L.
TI - Infinitesimal rigidity of Euclidean submanifolds
JO - Annales de l'institut Fourier
PY - 1990
PB - Association des Annales de l'Institut Fourier
VL - 40
IS - 4
SP - 939
EP - 949
AB - A submanifold $M^n$ of the Euclidean space $R^n$ is said to be infinitesimally rigid if any smooth variation which is isometric to first order is trivial. The main purpose of this paper is to show that local or global conditions which are well known to imply isometric rigidity also imply infinitesimal rigidity.
LA - eng
KW - infinitesimally rigid; isometric rigidity
UR - http://eudml.org/doc/74906
ER -