由对偶Wulff形状的仿射微扰构造的Wulff形状单参数族的Hausdorff距离极限

IF 0.6 Q4 MATHEMATICS, APPLIED Methods and applications of analysis Pub Date : 2018-01-01 DOI:10.4310/maa.2018.v25.n4.a1

Huhe Han, T. Nishimura

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引用次数: 0

摘要

。众所周知，伍尔夫构造是等距的。在本文中，我们提供了这一事实的另一种证明。此外，根据这一结果，我们研究了由对偶Wulff形状的仿射微扰构造的单参数Wulff形状族的Hausdorff距离的极限。

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Limit of the Hausdorff distance for one-parameter families of Wulff shapes constructed by affine perturbations of dual Wulff shapes

. It is known that the Wulﬀ construction is an isometry. In this paper we provide an alternative proof of this fact. Moreover, according to this result we investigate the limit of the Hausdorﬀ distance for one-parameter families of Wulﬀ shapes constructed by aﬃne perturbations of dual Wulﬀ shapes.

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Methods and applications of analysis MATHEMATICS, APPLIED-

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33.30%

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