New minimal surfaces in S^3 desingularizing the Clifford tori
Differential Geometry
2013-04-12 v1
Abstract
For each integer m>1 and l>0 we construct a pair of compact embedded minimal surfaces of genus 1+4m(m-1)l. These surfaces desingularize the m Clifford tori meeting each other along a great circle at the angle of \pi/m. They are invariant under a finite group of screw motions and have no reflection symmetry across a great sphere.
Cite
@article{arxiv.1304.3184,
title = {New minimal surfaces in S^3 desingularizing the Clifford tori},
author = {Jaigyoung Choe and Marc Soret},
journal= {arXiv preprint arXiv:1304.3184},
year = {2013}
}
Comments
14 pages, 6 figures