Costa-Hoffman-Meeks Genus 1 Minimal Surface EG-Models Home

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Electronic Geometry Model No. 2000.07.004


Jim Hoffman


Costa-Hoffman-Meeks Genus 1 Minimal Surface.

This was the first example of a complete minimal embedded surface of finite topology discovered since the three earlier known examples of the plane, catenoid, and helicoid were discovered over two hundred years ago.

Model produced with: VPS

Keywords minimal surface; Costa surface; nice manifold; triangulation
MSC-2000 Classification 52B11 (53Axx, 53Bxx)
Zentralblatt No. 01683029


  1. David A. Hoffman and William H. Meeks III: A Variational Approach to the existence of complete embedded minimal surfaces, Duke Math Journal 57, 3 (1988), 877--893.
  2. David A. Hoffman and Hermann Karcher: Complete Embedded Minimal Surfaces of Finite Total Curvature (1995), Preprint,
  3. James T. Hoffman: The Costa-Hoffman-Meeks Surface Families,


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Submission information

Submitted: Tue Jul 25 14:12:43 CET 2000.
Accepted: Mon Nov 20 17:06:57 CET 2000.

Author's Address

Jim Hoffman
1000 Centennial Drive
Berkeley CA