Reduced spherical convex bodies
Volume 66 / 2018
Bulletin Polish Acad. Sci. Math. 66 (2018), 87-97
MSC: Primary 52A55.
DOI: 10.4064/ba8088-1-2018
Published online: 12 March 2018
Abstract
The paper presents a number of properties of reduced bodies on the two-dimensional sphere. Our main theorem describes the shape of reduced bodies of thickness below ${\pi }/{2}$.