Geodesic nets on the 2-sphere
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- by Joel Hass and Frank Morgan PDF
- Proc. Amer. Math. Soc. 124 (1996), 3843-3850 Request permission
Abstract:
In this paper we introduce the concept of a geodesic net, an idea which plays the role among graphs that geodesics play among simple closed curves. We establish the existence of specific geodesic nets on the 2-sphere in certain cases.References
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Additional Information
- Joel Hass
- Affiliation: Department of Mathematics, University of California at Davis, Davis, California 95616
- Email: hass@math.ucdavis.edu
- Frank Morgan
- Affiliation: Department of Mathematics, Williams College, Williamstown, Massachusetts 01267
- Email: Frank.Morgan@williams.edu
- Received by editor(s): January 26, 1995
- Received by editor(s) in revised form: May 30, 1995
- Additional Notes: The first author was partially supported by the National Science Foundation
The second author was partially supported by the National Science Foundation - Communicated by: Christopher Croke
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3843-3850
- MSC (1991): Primary 53C22; Secondary 53A10
- DOI: https://doi.org/10.1090/S0002-9939-96-03492-2
- MathSciNet review: 1343696