Work

Generalized Kazdan-Warner equations on foliated manifolds

Year: 2026

Type: article

Abstract: 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.

Source: Differential Geometry and its Applications

DOI: 10.1016/j.difgeo.2026.102354

Author: Natsuo Miyatake

Institution: Tohoku University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,740

Funder: Tohoku University