English

Index one minimal surfaces in spherical space forms

Differential Geometry 2018-12-06 v2

Abstract

We prove that orientable index one minimal surfaces in spherical space forms with large fundamental group have genus at most two. This confirms a conjecture of R. Schoen for an infinite class of 3-manifolds.

Keywords

Cite

@article{arxiv.1803.05882,
  title  = {Index one minimal surfaces in spherical space forms},
  author = {Celso Viana},
  journal= {arXiv preprint arXiv:1803.05882},
  year   = {2018}
}

Comments

18 pages

R2 v1 2026-06-23T00:54:35.670Z