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arXiv 2101.12469math.DG
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作为代数曲线和曲面的芬斯勒指标

Finslerian indicatrices as algebraic curves and surfaces

P. Chansri, P. Chansangiam, S. V. Sabau

摘要:

我们给出了如何构造二维和三维的新的Finsler度量,其指标是其它曲线或曲面的垂足曲线或踏板曲面。这些Finsler度量是著名的斜率度量(也称为Matsumoto度量)的推广。

英文摘要:

We show how to construct new Finsler metrics, in two and three dimensions, whose indicatrices are pedal curves or pedal surfaces of some other curves or surfaces. These Finsler metrics are generalizations of the famous slope metric, also called Matsumoto metric.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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