# Isoperimetric structure of asymptotically conical manifolds

@article{Chodosh2015IsoperimetricSO, title={Isoperimetric structure of asymptotically conical manifolds}, author={O. Chodosh and M. Eichmair and A. Volkmann}, journal={arXiv: Differential Geometry}, year={2015} }

We study the isoperimetric structure of Riemannian manifolds that are asymptotic to cones with non-negative Ricci curvature. Specifically, we generalize to this setting the seminal results of G. Huisken and S.-T. Yau on the existence of a canonical foliation by volume preserving stable constant mean curvature surfaces at infinity of asymptotically flat manifolds as well as the results of the second-named author with S. Brendle and J. Metzger on the isoperimetric structure of asymptotically flat… Expand

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