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Paper detail

Levi-flat CR structures on compact Lie groups

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.

preprint2022arXivOpen access
Howard JacobowitzMax Reinhold Jahnke
math.CVmath.DG
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Howard JacobowitzMax Reinhold Jahnke

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