Generalized Kazdan-Warner equations on foliated manifolds

Differential Geometry and its Applications 2026 Open access

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Authors: Natsuo Miyatake
DOI: 10.1016/j.difgeo.2026.102354
Cited by: 0
References: 9

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.

Fields of Study & Subjects

Geometry and complex manifolds Algebraic Geometry and Number Theory Geometric Analysis and Curvature Flows

Publication details

Journal / source
Differential Geometry and its Applications
Volume
103
Pages
102354–102354
Publication date
17 February 2026
Language
EN