Inventiones mathematicae

, Volume 158, Issue 2, pp 323–341

The geometry of minimal surfaces of finite genus II; nonexistence of one limit end examples


DOI: 10.1007/s00222-004-0374-3

Cite this article as:
Meeks III, W., Pérez, J. & Ros, A. Invent. math. (2004) 158: 323. doi:10.1007/s00222-004-0374-3


We demonstrate that a properly embedded minimal surface in ℝ3 with finite genus cannot have one limit end.

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.Department of Mathematics, Lederle Graduate Research CenterUniversity of MassachusettsAmherstUSA
  2. 2.Departamento de Geometria y TopologiaUniversidad de Granada, s/nGranadaSpain