The isoperimetric problem for Lens spaces

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Celso Viana , University College London
Fine Hall 314

Given a Riemannian manifold, the isoperimetric problem consists in classifying the regions that minimize perimeter among regions of same volume.  In this talk, we show that the solutions of the isoperimetric problem in the Lens space with large fundamental group are either geodesic spheres or tori of revolution about geodesics.