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

DOI: 10.4236/apm.2012.24032   PDF   HTML     3,787 Downloads   6,929 Views   Citations

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.

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D. Xie and Q. He, "Minimal Surfaces and Gauss Curvature of Conoid in Fins-ler Spaces with (α, β)-Metrics," Advances in Pure Mathematics, Vol. 2 No. 4, 2012, pp. 220-225. doi: 10.4236/apm.2012.24032.

Conflicts of Interest

The authors declare no conflicts of interest.

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