Isoperimetric curves on hyperbolic surfaces
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- by Colin Adams and Frank Morgan PDF
- Proc. Amer. Math. Soc. 127 (1999), 1347-1356 Request permission
Abstract:
Least-perimeter enclosures of prescribed area on hyperbolic surfaces are characterized.References
- Colin Adams, Maximal cusps, collars and systoles for hyperbolic surfaces, Indiana Univ. Math. J., to appear.
- Joel Hass and Frank Morgan, Geodesics and soap bubbles in surfaces, Math. Z. 223 (1996), no. 2, 185–196. MR 1417428, DOI 10.1007/PL00004560
- Hugh Howards, Michael Hutchings, and Frank Morgan, The isoperimetric problem on surfaces, Amer. Math. Monthly, to appear.
- Frank Morgan, Geometric measure theory, 2nd ed., Academic Press, Inc., San Diego, CA, 1995. A beginner’s guide. MR 1326605
- P. Schmutz, Riemann surfaces with shortest geodesic of maximal length, Geom. Funct. Anal. 3 (1993), no. 6, 564–631. MR 1250756, DOI 10.1007/BF01896258
Additional Information
- Colin Adams
- Affiliation: Department of Mathematics, Williams College, Williamstown, Massachusetts 01267
- MR Author ID: 22975
- Email: colin.adams@williams.edu
- Frank Morgan
- Affiliation: Department of Mathematics, Williams College, Williamstown, Massachusetts 01267
- Email: frank.morgan@williams.edu
- Received by editor(s): August 6, 1997
- Published electronically: January 28, 1999
- Communicated by: Christopher B. Croke
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1347-1356
- MSC (1991): Primary 30F99, 53C99, 53A99, 49Q99
- DOI: https://doi.org/10.1090/S0002-9939-99-04778-4
- MathSciNet review: 1487351