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arXiv · 2204.01253

Generalized Kazdan-Warner equations on foliated manifolds

Natsuo Miyatake
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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.

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Natsuo Miyatake. 2022-04-04. Generalized Kazdan-Warner equations on foliated manifolds. https://arxiv.org/abs/2204.01253

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