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

 

Isoperimetric curves on hyperbolic surfaces


Authors: Colin Adams and Frank Morgan
Journal: Proc. Amer. Math. Soc. 127 (1999), 1347-1356
MSC (1991): Primary 30F99, 53C99, 53A99, 49Q99
Published electronically: January 28, 1999
MathSciNet review: 1487351
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Abstract: Least-perimeter enclosures of prescribed area on hyperbolic surfaces are characterized.


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Additional Information

Colin Adams
Affiliation: Department of Mathematics, Williams College, Williamstown, Massachusetts 01267
Email: colin.adams@williams.edu

Frank Morgan
Affiliation: Department of Mathematics, Williams College, Williamstown, Massachusetts 01267
Email: frank.morgan@williams.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04778-4
PII: S 0002-9939(99)04778-4
Keywords: Isoperimetric problem, hyperbolic surface
Received by editor(s): August 6, 1997
Published electronically: January 28, 1999
Communicated by: Christopher B. Croke
Article copyright: © Copyright 1999 American Mathematical Society