manuscripta mathematica

, Volume 100, Issue 1, pp 23–33 | Cite as

The isoperimetric inequality on a surface

  • Peter Topping

Abstract:

We prove a new isoperimetric inequality which relates the area of a multiply connected curved surface, its Euler characteristic, the length of its boundary, and its Gaussian curvature.

Keywords

Curve Surface Gaussian Curvature Euler Characteristic Isoperimetric Inequality 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Peter Topping
    • 1
  1. 1.Department of Mathematics, Cornell University, Ithaca, NY 14853, USA.¶E-mail: topping@math.cornell.eduUS

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