# Saddle towers with infinitely many ends

Abstract : We prove the existence of nonperiodic, properly embedded minimal surfaces in $\mathbb{R}^2\times\mathbb{S}^1$ with genus zero, infinitely many ends and one limit end (in particular, they have infinite total curvature).
Document type :
Journal articles

https://hal.archives-ouvertes.fr/hal-00118104
Contributor : Laurent Mazet <>
Submitted on : Monday, December 4, 2006 - 11:28:43 AM
Last modification on : Wednesday, September 4, 2019 - 1:52:03 PM

### Citation

Laurent Mazet, M. Magdalena Rodriguez, Martin Traizet. Saddle towers with infinitely many ends. Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2007, 56 (6), pp.2821--2838. ⟨hal-00118104⟩

Record views