Complex Analysis Synerg. 2021;7(3-4):25. doi: 10.1007/s40627-021-00083-y. Epub 2021 Jul 15.
ABSTRACT
We consider compact Leviflat homogeneous Cauchy-Riemann (CR) manifolds. In this setting, the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds in our context and then combine the projective and parallelizable cases. In codimensions one and two, we also give a classification.
PMID:34723129 | PMC:PMC8550170 | DOI:10.1007/s40627-021-00083-y
