A general definition has been proposed recently of a linear connection and a metric in noncommutative geometry. It is shown that to within normalization there is a unique linear connection on the quantum plane and there is no metric.
Publié le : 1995-07-05
Classification:
[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
@article{hal-00013532,
author = {Dubois-Violette, Michel and Madore, John and Masson, Thierry and Mourad, Jihad},
title = {Linear connections on the quantum plane},
journal = {HAL},
volume = {1995},
number = {0},
year = {1995},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00013532}
}
Dubois-Violette, Michel; Madore, John; Masson, Thierry; Mourad, Jihad. Linear connections on the quantum plane. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013532/