English

Stability of $C^\infty$ convex integrands

Geometric Topology 2018-06-25 v1

Abstract

In this paper, it is shown that the set consisting of stable convex integrands SnR+S^n\to \mathbb{R}_+ is open and dense in the set consisting of CC^\infty convex integrands with respect to Whitney CC^\infty topology. Moreover, an application of the proof of this result is also shown.

Keywords

Cite

@article{arxiv.1601.06347,
  title  = {Stability of $C^\infty$ convex integrands},
  author = {Erica Boizan Batista and Huhe Han and Takashi Nishimura},
  journal= {arXiv preprint arXiv:1601.06347},
  year   = {2018}
}

Comments

7 pages

R2 v1 2026-06-22T12:35:32.449Z