English

On Singular Connections and Geometrically Atomic Maps

Differential Geometry 2007-05-23 v1

Abstract

We prove that the introduction of the class of geometrically atomic bundle maps by Harvey and Lawson in their theory of singular connections is not necessary because an arbitrary map satisfies the conditions of geometric atomicity.

Cite

@article{arxiv.math/0301315,
  title  = {On Singular Connections and Geometrically Atomic Maps},
  author = {Valery Marenich and Karel Packalen},
  journal= {arXiv preprint arXiv:math/0301315},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T16:51:28.380Z