Minimal Surfaces and Gauss Curvature of Conoid in Fins-ler Spaces with (α, β)-Metrics

Dinghe Xie, Qun He

Department of Mathematics, Tongji University, Shanghai, China.

DOI: 10.4236/apm.2012.24032                

Abstract

In this paper, minimal submanifolds in Finsler spaces with (α, β)-metrics are studied. Especially, helicoids are also minimal in (α, β)-Minkowski spaces. Then the minimal surfaces of conoid in Finsler spaces with (α, β)-metrics are given. Last, the Gauss curvature of the conoid in the 3-dimension Randers-Minkowski space is studied.

Keywords

Isometrical Immersion; Minimal Submanifold; (α, β)-Metric; Conoid Surface; Gauss Curvature

Conflicts of Interest

The authors declare no conflicts of interest.

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