English

Connected components of the space of proper gradient vector fields

Dynamical Systems 2018-09-06 v1

Abstract

We show that there exist two proper gradient vector fields on Rn\mathbb{R}^n which are homotopic in the category of proper maps but not homotopic in the category of proper gradient maps.

Keywords

Cite

@article{arxiv.1809.01411,
  title  = {Connected components of the space of proper gradient vector fields},
  author = {Maciej Starostka},
  journal= {arXiv preprint arXiv:1809.01411},
  year   = {2018}
}

Comments

5 pages

R2 v1 2026-06-23T03:54:51.231Z