Ruled minimal surfaces in \Bbb R³ with density e^z

2009/01/25 by Nguyen Minh Hoang, Hoang, Nguyen Minh, Doan The Hieu +1
Mathematics · #49Q05 #53A10 (Secondary) #53C25 (Primary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0901.3904

openalex publication_date 2009/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify ruled minimal surfaces in \Bbb R³ with density e^z. It is showed that there is no noncylindrical ruled minimal surface and there is a family of cylindrical ruled minimal surfaces in \Bbb R³ with density e^z. It is also proved that all translation minimal surfaces are ruled.

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