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

Florian Bertrand; Giuseppe Della Sala; Bernhard Lamel

doi:10.4171/rmi/1537

JournalsrmiVol. 41, No. 1pp. 113–138

A sphericity criterion for strictly pseudoconvex hypersurfaces in $C^{2}$ via invariant curves

Florian Bertrand
American University of Beirut, Beirut, Lebanon
Giuseppe Della Sala
American University of Beirut, Beirut, Lebanon
Bernhard Lamel
University of Vienna, Wien, Austria

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

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Abstract

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

Cite this article

Florian Bertrand, Giuseppe Della Sala, Bernhard Lamel, A sphericity criterion for strictly pseudoconvex hypersurfaces in $C^{2}$ via invariant curves. Rev. Mat. Iberoam. 41 (2025), no. 1, pp. 113–138

DOI 10.4171/RMI/1537