Universality of the divergence
Abstract
Algebraists asked whether or not an operator on the module of smooth sections of the tangent bundle over the commutative ring of smooth functions of a smooth (orientable) manifold (can be any piece of a compact or a complete manifold) can be characterized by two axioms. In this note we confirm this for any smooth manifold M M under the assumption that H 1 ( M , R ) = { 0 } H^1(M, \mathbb {R})=\{0\} .
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric Analysis and Curvature Flows
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 5
- Pages
- 2169–2173
- Publication date
- 13 March 2026
- Language
- EN