Generalized Kazdan-Warner equations on foliated manifolds
On compact foliated manifolds, we extend the theorem on the existence and uniqueness of solutions to generalized Kazdan-Warner equations. We provide examples of PDEs that we solve, including the transverse Hitchin equation for a diagonal harmonic metric on basic cyclic Higgs bundles over a 3-dimensional complex codimension one foliated manifold, and its generalizations.
Authors
- Natsuo Miyatake (ORCID: https://orcid.org/0000-0002-4078-8272)
Institutions
- Tohoku University (JP)
Publication Details
- Journal
- Differential Geometry and its Applications
- Published
- 2026-02-17
- DOI
- https://doi.org/10.1016/j.difgeo.2026.102354
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00