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math.DG2022★ 2 cited
From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies
Jan Kotrbatý, Thomas Wannerer
The Alesker-Bernig-Schuster theorem asserts that each irreducible representation of the special orthogonal group appears with multiplicity at most one as a subrepresentation of the…
math.DG2019
The Weyl principle on the Finsler frontier
Dmitry Faifman, Thomas Wannerer
Any Riemannian manifold has a canonical collection of valuations (finitely additive measures) attached to it, known as the intrinsic volumes or Lipschitz-Killing valuations. They d…
math.DG2018
Classification of angular curvature measures and a proof of the angularity conjecture
Thomas Wannerer
In this paper angular curvature measures are investigated. Our first result is a complete classification of translation-invariant angular smooth curvature measures on $\mathbb{R}^n…