A Weitzenböck formula for the Laplace-Beltrami operator acting on differential forms on Lie algebroids is derived.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-2-6,
author = {Bogdan Balcerzak and Jerzy Kalina and Antoni Pierzchalski},
title = {Weitzenb\"ock Formula on Lie Algebroids},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {60},
year = {2012},
pages = {165-176},
zbl = {1247.58013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-2-6}
}
Bogdan Balcerzak; Jerzy Kalina; Antoni Pierzchalski. Weitzenböck Formula on Lie Algebroids. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 165-176. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-2-6/