English

A sphericity criterion for strictly pseudoconvex hyper surfaces in $\mathbb{C}^2$ via invariant curves

Complex Variables 2025-01-16 v1

Abstract

We prove that if every chain on a strictly pseudoconvex hypersurface MM in C2\mathbb{C}^2 coincides with the boundary of a stationary disc, then MM is locally spherical.

Keywords

Cite

@article{arxiv.2501.08842,
  title  = {A sphericity criterion for strictly pseudoconvex hyper surfaces in $\mathbb{C}^2$ via invariant curves},
  author = {Florian Bertrand and Giuseppe Della Sala and Bernhard Lamel},
  journal= {arXiv preprint arXiv:2501.08842},
  year   = {2025}
}