$\nabla $-flat functions on manifolds
Volume 84 / 2004
Annales Polonici Mathematici 84 (2004), 177-180
MSC: 53C05, 53A15.
DOI: 10.4064/ap84-2-7
Abstract
We investigate $\nabla $-flat and pointwise-$\nabla $-flat functions on affine and Riemannian manifolds. We show that the set of all $\nabla $-flat functions on $(M,\nabla )$ is a ring which has interesting properties similar to the ring of polynomial functions.
