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Proceedings of the American Mathematical Society

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



Finite groups and invariant solutions to one-dimensional Plateau problems

Author: David Bindschadler
Journal: Proc. Amer. Math. Soc. 80 (1980), 621-626
MSC: Primary 49F22; Secondary 53A10
MathSciNet review: 587939
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Abstract: Let G be a finite group of isometries acting on a complete Riemannian manifold. Suppose that B is a 0-dimensional boundary which is G-invariant. If the order of G divides the product of the cardinality of the orbit and the density of B at each point, then a G-invariant absolutely length minimizing integral current with boundary B can be constructed.

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Keywords: Plateau problem, area minimizing, integral current, invariant solution
Article copyright: © Copyright 1980 American Mathematical Society