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arXiv · 2501.08842

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

Florian Bertrand·Giuseppe Della Sala·Bernhard Lamel
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Abstract

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

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Florian Bertrand, Giuseppe Della Sala, Bernhard Lamel. 2025-01-15. A sphericity criterion for strictly pseudoconvex hyper surfaces in $\mathbb{C}^2$ via invariant curves. https://doi.org/10.4171/rmi%2F1537

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