English

A Note on Distribution Spaces on Manifolds

Functional Analysis 2008-12-31 v1 Differential Geometry

Abstract

26 different concrete representations of the space of vector valued distributions on a smooth manifold of dimension n are presented systematically, most of them new. In the particular case of representations as module homomorphisms acting on sections of the dual bundle resp. on n-forms, the continuity of these homomorphisms is already a consequence of their algebraic properties.

Keywords

Cite

@article{arxiv.0812.5099,
  title  = {A Note on Distribution Spaces on Manifolds},
  author = {Michael Grosser},
  journal= {arXiv preprint arXiv:0812.5099},
  year   = {2008}
}

Comments

LaTeX, 9 pages. Contribution presented at the 12th Serbian Mathematical Congress, August/September 2008, Novi Sad, Serbia; to be published in the Novi Sad Journal of Mathematics

R2 v1 2026-06-21T11:56:41.425Z