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

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DOI: 10.4236/apm.2012.24032    3,713 Downloads   6,807 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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