Some minimal hypersurfaces in the (n+1)-space with 2m-norm

2025/08/17 by Makoto Sakaki, Sakaki, Makoto, Ryota Tanaka +1
Mathematics · #46B20 #52A20 #52A21 #53A35 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2508.12528

openalex publication_date 2025/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study translation minimal hypersurfaces and separable minimal hypersurfaces in the (n+1)-space with 2m-norm.

Citations

• Some classes of minimal surfaces in the 3-space with 2m-norm
• Rotational surfaces in a normed 3-space whose principal curvatures satisfy a linear relation
• Classification of zero mean curvature surfaces of separable type in Lorentz-Minkowski space
• Differential geometry of spatial curves for gauges
• Curvature types of planar curves for gauges
• On curvature of surfaces immersed in normed spaces
• Some topics in differential geometry of normed spaces
• Surface immersions in normed spaces from the affine point of view
• Differential geometry of immersed surfaces in three-dimensional normed spaces
• Concepts of curvatures in normed planes

Related

• Some classes of minimal surfaces in the 3-space with 2m-norm
• New examples of higher-dimensional minimal hypersurfaces
• The existence of embedded minimal hypersurfaces
• Complete minimal hypersurfaces in a hyperbolic space H⁴(-1)
• On δ-Stable Minimal Hypersurfaces in ℝⁿ⁺¹