On the classification of ruled minimal surfaces in pseudo-Euclidean space

2017/05/09 by Yuichiro Sato, Sato, Yuichiro · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematics and Applications #Primary 53A10 #Secondary 53B30

paper · pdf · doi:10.48550/arxiv.1705.03187

openalex publication_date 2017/05/09 · openalex created_date 2017/05/19 · openalex updated_date 2026/07/28

Abstract

This paper gives, in generic situations, a complete classification of ruled minimal surfaces in pseudo-Euclidean space with arbitrary index. In addition, we discuss the condition for ruled minimal surfaces to exist, and give a counter-example on the problem of Bernstein type.

Cited by

• Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space

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