On invariant properties of natural differential operators associated to geometric structures on ${\mathbb{R}}^n$

Abstract

We provide a general framework to study invariant properties of various gradient-like and Laplace-like differential operators naturally associated to geometric structures on ${\mathbb{R}}^n$, which encompass Euclidean, Minkowski, pseudo-Euclidean and symplectic structures.

14 pages

References in corpus (1)

• A global geometric decomposition of vector fields and applications to topological conjugacy

Cited by in corpus (1)

• On differential operators generated by geometric structures