In a continuum theory of crystals with defects, invariant line integrals measure the line defects of the lattice structure. It is shown that the integrands of invariant line integrals can always be taken to have the transformation properties of covariant vector-valued functions.
Invarianti integrali di linea in una teoria dei cristalli difettivi. In una teoria che modellizza i cristalli con difetti come mezzi continui, gli invarianti integrali di linea quantificano proprio i difetti di linea nella struttura cristallina. Si mostra in questo lavoro che le integrande di tali invarianti integrali possono sempre essere scelte in modo da avere la proprietà di transformazione di un vettore covariante.
@article{RLIN_2000_9_11_2_111_0,
author = {Gareth P. Parry and Miroslav \v Silhav\'y},
title = {Invariant line integrals in the theory of defective crystals},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {11},
year = {2000},
pages = {111-140},
zbl = {0967.74021},
mrnumber = {1797515},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_2000_9_11_2_111_0}
}
Parry, Gareth P.; Šilhavý, Miroslav. Invariant line integrals in the theory of defective crystals. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 11 (2000) pp. 111-140. http://gdmltest.u-ga.fr/item/RLIN_2000_9_11_2_111_0/
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