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/