Diameter, width and thickness of spherical reduced convex bodies with an application to Wulff shapes
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 61 - Trang 369-379 - 2019
Tóm tắt
After a few claims about lunes and convex sets on the d-dimensional sphere $$S^d$$ we present some relationships between the diameter, width and thickness of reduced convex bodies and bodies of constant diameter on $$S^d$$. These relationships are applied for proving the final theorem, which permits to recognize if a Wulff shape in the Euclidean space is self-dual.
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