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math.DG2015
Splitting a contraction of a simple curve traversed times
Gregory R. Chambers, Yevgeny Liokumovich
Suppose that is a -dimensional oriented Riemannian manifold, and let be a simple closed curve on . Let denote the curve formed by tracing times. We prov…
math.DG2015★ 7 cited
Isoperimetric Regions in with density
Wyatt Boyer, Bryan Brown, Gregory R. Chambers +2
We show that the unique isoperimetric hypersurfaces in with density for and are spheres that pass through the origin.