Invariant surfaces in Euclidean space with a log-linear density

2018/02/22 by López, Rafael · 1 citation
#53A10 #53C21 #53C42 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.07987

Abstract

A λ-translating soliton with density vector v is a surface in Euclidean space whose mean curvature H satisfies 2H=2λ+⟨ N,v⟩, where N is the Gauss map. We classify all λ-translating solitons that are invariant by a one-parameter group of translations and a one-parameter group of rotations.

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