| Full text | |
| Author(s): |
Jacobowitz, Howard
;
Jahnke, Max Reinhold
Total Authors: 2
|
| Document type: | Journal article |
| Source: | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY; v. 64, n. 1, p. 21-pg., 2023-07-01. |
| Abstract | |
Pittie (Proc Indian Acad Sci Math Sci 98:117-152, 1988) 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 generalized Pittie's result to left-invariant Levi-flat CR structures of maximal rank on compact Lie groups. The main tools we used was a version of the Leray-Hirsch theorem for CR principal bundles and the algebraic classification of left-invariant CR structures of maximal rank on compact Lie groups (Charbonnel and Khalgui in J Lie Theory 14:165-198, 2004) . (AU) | |
| FAPESP's process: | 19/22981-0 - The cohomology of left-invariant Cr structures of maximal rank on compact Lie groups |
| Grantee: | Max Reinhold Jahnke |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 19/09967-8 - Solvability and Regularity for Some Classes of PDEs |
| Grantee: | Max Reinhold Jahnke |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |