Self-dual Wulff shapes and spherical convex bodies of constant width π/2

Huhe Han; Takashi Nishimura

doi:10.2969/jmsj/06941475

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Self-dual Wulff shapes and spherical convex bodies of constant width π/2

Huhe Han, Takashi Nishimura

著者情報

キーワード: Wulff shape, dual Wulff shape, self-dual Wulff shape, spherical convex body, width, constant width, Lune, thickness, diameter, spherical polar set

ジャーナルフリー

2017 年 69 巻 4 号 p. 1475-1484

DOI https://doi.org/10.2969/jmsj/06941475

詳細

抄録

For any Wulff shape, its dual Wulff shape is naturally defined. A self-dual Wulff shape is a Wulff shape equaling its dual Wulff shape exactly. In this paper, it is shown that a Wulff shape is self-dual if and only if the spherical convex body induced by it is of constant width π/2.