The isoperimetric problem for Lens spaces
The isoperimetric problem for Lens spaces
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Celso Viana , University College London
GivenÌýaÌýRiemannianÌýmanifold,ÌýtheÌýisoperimetricÌýproblemÌýconsists inÌýclassifyingÌýtheÌýregionsÌýthatÌýminimizeÌýperimeterÌýamongÌýregionsÌýofÌýsameÌývolume. ÌýIn this talk, we show that the solutions of theÌýisoperimetric problem in the Lens space with large fundamentalÌýgroup are either geodesic spheres or tori of revolution about geodesics.