Mathematical Research Letters

Volume 29 (2022)

Number 4

Classification of homogeneous strictly pseudoconvex hypersurfaces in $\mathbb{C}^3$

Pages: 1165 – 1196

DOI: https://dx.doi.org/10.4310/MRL.2022.v29.n4.a10

Authors

Ilya Kossovskiy (Department of Mathematics, Masaryk University in Brno, Czech Republic; and Faculty of Mathematics, University of Vienna, Austria)

Alexander Loboda (Department of Mathematics, Voronez State Technical University, Voronezh, Russia)

Abstract

Locally homogeneous strictly pseudoconvex hypersurfaces in $\mathbb{C}^2$ were classified by E. Cartan in 1932. In this work, we complete the classification of locally homogeneous strictly pseudoconvex hypersurfaces in $\mathbb{C}^3$.

Received 29 January 2020

Accepted 25 August 2020

Published 23 February 2023