An Aubin-Yau theorem for transversally Kähler foliations
Abstract
Abstract Transversally Kähler foliations are a generalisation of Kähler manifolds, appearing naturally in the complex non-Kähler setting. We give a self-contained proof of how the classical methods used in the proof of the Aubin-Yau theorem adapt to the transversally Kähler case under the homological orientability condition. We apply this result to obtain a new, simpler proof of the already known Vaisman Aubin-Yau theorem.
Fields of Study & Subjects
Geometry and complex manifolds
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Publication details
- Journal / source
- Annals of Global Analysis and Geometry
- Volume
- 70
- Issue
- 1
- Publication date
- 15 June 2026
- Language
- EN