TITLE:
Minimal Surfaces and Gauss Curvature of Conoid in Fins-ler Spaces with (α, β)-Metrics
AUTHORS:
Dinghe Xie, Qun He
KEYWORDS:
Isometrical Immersion; Minimal Submanifold; (α, β)-Metric; Conoid Surface; Gauss Curvature
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.4,
July
27,
2012
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.