Spherical centroid bodies

Tuesday, September 4, 2018 - 2:00pm
Math Sci 111
Thomas Hack (TU Wien)

Going back to C. Dupin and W. Blaschke, the notion of Euclidean centroid bodies, along with their associated isoperimetric inequalities, forms a classical part of the theory of convex bodies. In this talk, we give a new definition of centroid bodies in spherical space, explore their basic properties, and discuss isoperimetric problems associated with them.

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