A decomposition theorem for elliptic structures of minimal rank on compact Lie groups and applications
Year: 2026
Type: preprint
Abstract: We show that every left-invariant elliptic structure of minimal rank on an odd-dimensional compact Lie group admits an algebraic decomposition analogous to those obtained by Pittie in the complex case and by Charbonnel and Khalgui for left-invariant CR structures of hypersurface type. We then use this decomposition to prove that the cohomology associated with such an elliptic structure can be reduced to a computation on a suitable maximal torus.
Source: arXiv (Cornell University)
Authors: Drei, Guido, Jahnke, Max Reinhold
Institutions: University of Bologna, University of Cologne
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G2436722739
OpenAlex ID: W7214801099