English

A Morse deformation lemma at infinity

Differential Geometry 2016-10-28 v1

Abstract

We prove a generalized version of the classic deformation lemma from Morse Theory that considers functions going to -\infty at a compact set, and allowing the lower value of the deformation to be -\infty. The result is valid for a class of functions satisfying a suitable growth condition.

Keywords

Cite

@article{arxiv.1610.08560,
  title  = {A Morse deformation lemma at infinity},
  author = {Julián Haddad},
  journal= {arXiv preprint arXiv:1610.08560},
  year   = {2016}
}
R2 v1 2026-06-22T16:33:15.103Z