A Weitzenböck formula for SL(q)-foliations is derived. Its linear part is a relative trace of the relative curvature operator acting on vector valued forms.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-2-8, author = {Adam Bartoszek and Jerzy Kalina and Antoni Pierzchalski}, title = {Weitzenb\"ock Formula for SL(q)-foliations}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {58}, year = {2010}, pages = {179-188}, zbl = {1218.58025}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-2-8} }
Adam Bartoszek; Jerzy Kalina; Antoni Pierzchalski. Weitzenböck Formula for SL(q)-foliations. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) pp. 179-188. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-2-8/