Constructions of Helicoidal Surfaces in Euclidean Space with Density

Our principal goal is to study the prescribed curvature problem in a manifold with density. In particular, we consider the Euclidean 3-space R 3 with a positive density function e ϕ , where ϕ = - x 2 - y 2 , ( x , y , z ) ∈ R 3 and construct all the helicoidal s...

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Bibliographic Details
Main Authors: Dae Won Yoon, Dong-Soo Kim, Young Ho Kim, Jae Won Lee
Format: Article
Language:English
Published: MDPI AG 2017-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/9/9/173