An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space

2021/05/10 by Caldiroli, Paolo
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.04503

Abstract

We construct families of smooth functions H\colonℝⁿ⁺¹→ℝ such that the Euclidean (n+1)-space is completely filled by not necessarily round hyperspheres of mean curvature H at every point.

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