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arXiv · 2602.22385

A Boothby-Wang construction in generalized contact geometry

Debjit Pal
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Abstract

We establish a generalized analogue of the Boothby-Wang theorem in generalized contact geometry, along with related results. We present a general method for constructing examples of generalized contact structures that are not of Poon-Wade type, and even examples that fail to be generalized contact structures. Using Courant reduction methods, we construct a generalized complex structure on a smooth leaf space and equip the generalized contact manifold with a principal bundle structure whose connection is defined by the generalized contact data. Under mild assumptions, we show that the curvature induces a symplectic foliation on the leaf space. Several examples are provided.

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Debjit Pal. 2026-02-25. A Boothby-Wang construction in generalized contact geometry. https://arxiv.org/abs/2602.22385

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