English

Zoll manifolds with boundary

Differential Geometry 2025-10-31 v1

Abstract

In this paper we study the geometry and topology of compact Riemannian manifolds (M,g)(M,g) with boundary having the property that every geodesic that starts orthogonally to M\partial M also arrives orthogonally to the boundary.

Keywords

Cite

@article{arxiv.2510.26725,
  title  = {Zoll manifolds with boundary},
  author = {Eduardo Longa and Paolo Piccione and Roney Santos},
  journal= {arXiv preprint arXiv:2510.26725},
  year   = {2025}
}

Comments

17 pages

R2 v1 2026-07-01T07:14:15.085Z