English

Visible $\mathcal C^2$-smooth domains are pseudoconvex

Complex Variables 2024-10-14 v2

Abstract

We show that a domain that satisfies the visibility property with C2\mathcal C^2-smooth boundary is pseudoconvex.

Keywords

Cite

@article{arxiv.2407.02952,
  title  = {Visible $\mathcal C^2$-smooth domains are pseudoconvex},
  author = {Nikolai Nikolov and Ahmed Yekta Ökten and Pascal J. Thomas},
  journal= {arXiv preprint arXiv:2407.02952},
  year   = {2024}
}

Comments

6 pages; some typos and inaccuracies have been fixed. To appear in Bull. Sci. Math

R2 v1 2026-06-28T17:27:41.433Z