We investigate ∇-flat and pointwise-∇-flat functions on affine and Riemannian manifolds. We show that the set of all ∇-flat functions on (M,∇) is a ring which has interesting properties similar to the ring of polynomial functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-2-7, author = {Wojciech Koz\l owski}, title = {[?]-flat functions on manifolds}, journal = {Annales Polonici Mathematici}, volume = {83}, year = {2004}, pages = {177-180}, zbl = {1098.53013}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-2-7} }
Wojciech Kozłowski. ∇-flat functions on manifolds. Annales Polonici Mathematici, Tome 83 (2004) pp. 177-180. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-2-7/