Evolution by Levi form in \(\mathbb{P}^2\)

DOI10.4171/RLM/948zbMath1487.32056OpenAlexW4200491351MaRDI QIDQ2075660

Giuseppe Tomassini

Publication date: 15 February 2022

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/948

zbMATH Keywords

pseudoconvexityLevi operatorLevi flatnessparabolic equation and systems

Mathematics Subject Classification ID

The Levi problem (32E40) Other partial differential equations of complex analysis in several variables (32W50) Strongly pseudoconvex domains (32T15) Geometric evolution equations (53E99)

Cites Work

• Motion of level sets by mean curvature. I
• Motion of a set by the curvature of its boundary
• Pseudoconvex domains: An example with nontrivial nebenhuelle
• A note on projective Levi flats and minimal sets of algebraic foliations
• Flow of real hypersurfaces by the trace of the Levi form
• Evolution of special subsets of \(\mathbb C^2\)
• Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension \(\geq 3\)
• Geometric properties of solutions of the Levi curvature equation in \(\mathbb C^ 2\)
• Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif
• User’s guide to viscosity solutions of second order partial differential equations
• Stein hull and evolution
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