manuscripta mathematica

, Volume 25, Issue 4, pp 349–357

The collar theorem and examples

  • Peter Buser

DOI: 10.1007/BF01168048

Cite this article as:
Buser, P. Manuscripta Math (1978) 25: 349. doi:10.1007/BF01168048


We generalize Randol's estimate of the length of cylinders in Riemann surfaces to arbitrary variable curvature and give examples with constant curvature to show that the bound is sharp.

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Peter Buser
    • 1
  1. 1.Sonderforschungsbereich 40 Mathematisches InstitutUniversität BonnBonnGermany

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