López Minimal Klein Bottle

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The López–Klein bottle is the unique complete minimal Klein bottle in that is once-punctured, one-ended (the boundary has one connected component), and with a total curvature of . It represents the simplest complete minimal immersion and the only complete nonorientable minimal surface in this topology. It is homeomorphic to a Klein bottle with the exception of one point.

Contributed by: Enrique Zeleny (June 2014)
Open content licensed under CC BY-NC-SA


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References

[1] F. J. López, "A Complete Minimal Klein Bottle in ," Duke Mathematical Journal, 71(1), 1993 pp. 23–30. projecteuclid.org/euclid.dmj/1077289835.

[2] F. J. López. "Website of Francisco J. López." (Sept 23, 2013) www.ugr.es/~fjlopez/Web_FJLopez/English.html.



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