Finite groups and invariant solutions to one-dimensional Plateau problems

Bindschadler, David

doi:10.1090/S0002-9939-1980-0587939-9

Finite groups and invariant solutions to one-dimensional Plateau problems
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Proc. Amer. Math. Soc. 80 (1980), 621-626 Request permission

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.

References

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