Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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] Thomas F. Banchoff and William F. Pohl, A generalization of the isoperimetric inequality, J. Differential Geometry 6 (1971/72), 175–192. MR 0305319
  • [2] William F. Pohl, Some integral formulas for space curves and their generalization, Amer. J. Math. 90 (1968), 1321–1345. MR 0238247
  • [3] Luis A. Santaló, Integral geometry and geometric probability, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1976. With a foreword by Mark Kac; Encyclopedia of Mathematics and its Applications, Vol. 1. MR 0433364

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DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1079698-X
Article copyright: © Copyright 1993 American Mathematical Society