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Hoffman's Minimal Surface

A minimal embedded surface discovered in 1992 consisting of a helicoid with a hole and handle (Science News 1992). It has the same topology as a punctured sphere with a handle, and is only the second complete embedded minimal surface of finite topology and infinite total curvature discovered (the helicoid being the first).

A three-ended minimal surface of genus 1 is sometimes also called Hoffman's minimal surface (Peterson 1988).

See also

Helicoid, Minimal Surface

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References

Karcher, H.; Wei, F. S.; and Hoffman, D. "The Genus One Helicoid and the Minimal Surfaces that Led to Its Discovery." In Global Analysis in Modern Mathematics. Proceedings of the Symposium in Honor of Richard Palais' Sixtieth Birthday held at the University of Maine, Orono, Maine, August 8-10, 1991, and at Brandeis University, Waltham, Massachusetts, August 12, 1992 (Ed. K. Uhlenbeck). Houston, TX: Publish or Perish Press, pp. 119-170, 1993.Peterson, I. Mathematical Tourist: Snapshots of Modern Mathematics. New York: W. H. Freeman, pp. 57-59, 1988."Putting a Handle on a Minimal Helicoid." Sci. News 142, 276, Oct. 24, 1992.

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Hoffman's Minimal Surface

Cite this as:

Weisstein, Eric W. "Hoffman's Minimal Surface." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HoffmansMinimalSurface.html

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