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The isoperimetric inequality for nonsimple closed curves

Author: Liliana M. Gysin
Journal: Proc. Amer. Math. Soc. 118 (1993), 197-203
MSC: Primary 53C65; Secondary 53A35
MathSciNet review: 1079698
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Abstract: The main purpose of this paper is the generalization to the hyperbolic and elliptic spaces of the isoperimetric inequality of Banchoff and Pohl (J. Differential Geom. 6 (1971), 175-192).

References [Enhancements On Off] (What's this?)

  • [1] T. F. Banchoff and W. F. Pohl, A generalization of the isoperimetric inequality, J. Differential Geom. 6 (1971), 175-192. MR 0305319 (46:4449)
  • [2] W. F. Pohl, Some integral formulas for space curves and their generalization, Amer. J. Math. 90 (1968), 1321-1345. MR 0238247 (38:6523)
  • [3] L. A. Santaló, Integral geometry and geometric probability, Encyclopedia Math. Appl., vol. 1, Addison-Wesley, Reading, MA, 1976. MR 0433364 (55:6340)

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Article copyright: © Copyright 1993 American Mathematical Society

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