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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Geodesic nets on the 2-sphere


Authors: Joel Hass and Frank Morgan
Journal: Proc. Amer. Math. Soc. 124 (1996), 3843-3850
MSC (1991): Primary 53C22; Secondary 53A10
MathSciNet review: 1343696
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03492-2
PII: S 0002-9939(96)03492-2
Keywords: Geodesics, nets
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
Article copyright: © Copyright 1996 American Mathematical Society