Levi-flat CR structures on compact Lie groups
Complex Variables
2022-03-29 v2 Differential Geometry
Abstract
Pittie [Pit88] proved that the Dolbeault cohomology of all left-invariant complex structures on compact Lie groups can be computed by looking at the Dolbeault cohomology induced on a conveniently chosen maximal torus. We use the algebraic classification of left-invariant CR structures of maximal rank on compact Lie groups [CK04] to generalize Pittie's result to left-invariant Levi-flat CR structures of maximal rank on compact Lie groups.
Keywords
Cite
@article{arxiv.2106.09182,
title = {Levi-flat CR structures on compact Lie groups},
author = {Howard Jacobowitz and Max Reinhold Jahnke},
journal= {arXiv preprint arXiv:2106.09182},
year = {2022}
}
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19 pages, 1 table