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arXiv · 2610.29917

Multiplicity of brake Reeb orbits on real prequantization bundles

Peng Liu·Dong Xie
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Abstract

We prove multiplicity results for geometrically distinct brake Reeb orbits on real prequantization $S^1$-bundles under geometric and dynamical assumptions. The lower bounds are expressed in terms of the sum of the mod-two Betti numbers of the real locus of the base. Our proofs combine Lagrangian Rabinowitz Floer homology with the index iteration theory for brake orbits. As an application, we obtain a sharp lower bound for the number of brake geodesics on Finsler spheres with pinched flag curvature.

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BibTeXRIS

Peng Liu, Dong Xie. 2026-10-21. Multiplicity of brake Reeb orbits on real prequantization bundles. https://arxiv.org/abs/2610.29917

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