López Minimal Klein Bottle

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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


Snapshots


Details

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.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send