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arxiv: 1811.12054 · v1 · pith:7X5TYEIInew · submitted 2018-11-29 · 🧮 math.DG

Existence of CMC-foliations in asymptotically cuspidal manifolds

classification 🧮 math.DG
keywords asymptoticallycuspidalexistencemanifoldsassumptioncasecmc-foliationscurvature
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In this paper we prove existence and uniqueness of a CMC foliation in asymptotically cuspidal manifolds. Moreover, we study the isoperimetric problem in this case. Our proof does not require any curvature assumption and it holds for any dimension.

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