Work

Multiplicity of brake Reeb orbits on real prequantization bundles

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.29917

Authors: Liu, Peng, Xie, Dong

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Tianjin City

OpenAlex ID: W7223198574

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