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Isoperimetric curves on hyperbolic surfaces

Author(s): Colin Adams; Frank Morgan
Journal: Proc. Amer. Math. Soc. 127 (1999), 1347-1356.
MSC (1991): Primary 30F99, 53C99, 53A99, 49Q99
Posted: January 28, 1999
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Abstract | References | Similar articles | Additional information

Abstract: Least-perimeter enclosures of prescribed area on hyperbolic surfaces are characterized.

References:

[A]: Colin Adams, Maximal cusps, collars and systoles for hyperbolic surfaces, Indiana Univ. Math. J., to appear.
[HM]: Joel Hass and Frank Morgan, Geodesics and soap bubbles in surfaces, Math. Z. 223 (1996), 185-196. MR 97j:53009
[HHM]: Hugh Howards, Michael Hutchings, and Frank Morgan, The isoperimetric problem on surfaces, Amer. Math. Monthly, to appear.
[M]: Frank Morgan, Geometric Measure Theory: a Beginner's Guide, Academic Press, second edition, 1995. MR 96c:49001
[S]: P. Schmutz, Riemann surfaces with shortest geodesic of maximal length, Geom. and Func. Anal. 3 (1993), 564-631. MR 95f:30060


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