English

Alexandrov embedded closed magnetic geodesics on S^2

Differential Geometry 2010-11-24 v2 Symplectic Geometry

Abstract

We prove the existence of two Alexandrov embedded closed magnetic geodesics on any two dimensional sphere with nonnegative Gauss curvature.

Cite

@article{arxiv.0903.1128,
  title  = {Alexandrov embedded closed magnetic geodesics on S^2},
  author = {Matthias Schneider},
  journal= {arXiv preprint arXiv:0903.1128},
  year   = {2010}
}

Comments

11 pages, added multiplicity result

R2 v1 2026-06-21T12:18:58.148Z