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Geodesic nets on the 2-sphere
Author(s):
Joel
Hass;
Frank
Morgan
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3843-3850.
MSC (1991):
Primary 53C22;
Secondary 53A10
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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:
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
Copyright of article:
Copyright
1996,
American Mathematical Society
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