Costa-Hoffman-Meeks Genus 1 Minimal Surface
Electronic Geometry Model No. 2000.07.004
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
Model produced with: VPS
||minimal surface; Costa surface; nice manifold; triangulation
||52B11 (53Axx, 53Bxx)
- 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.
- David A. Hoffman and Hermann Karcher: Complete Embedded Minimal Surfaces of Finite Total Curvature (1995), Preprint, http://www.msri.org/publications/preprints/online/1995-064.html.
- James T. Hoffman: The Costa-Hoffman-Meeks Surface Families, http://www.msri.org/publications/sgp/jim/geom/minimal/library/costa/indexc.html.
Submitted: Tue Jul 25 14:12:43 CET 2000.
Accepted: Mon Nov 20 17:06:57 CET 2000.
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