Abstract
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 ${\pi}/{2}$.
Citation
Huhe HAN. Takashi NISHIMURA. "Self-dual Wulff shapes and spherical convex bodies of constant width ${\pi}/{2}$." J. Math. Soc. Japan 69 (4) 1475 - 1484, October, 2017. https://doi.org/10.2969/jmsj/06941475
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