3 papers
math.DG2026
Translation invariant curvature measures of convex bodies
Jakob Schuhmacher, Thomas Wannerer
In a series of papers, Weil initiated the investigation of translation invariant curvature measures of convex bodies, which include as prime examples Federer's curvature measures.…
math.DG2025
The Weyl tube theorem for Kähler manifolds
Andreas Bernig, Joseph H. G. Fu, Gil Solanes +1
As sharpened in terms of Alesker's theory of valuations on manifolds, a classic theorem of Weyl asserts that the coefficients of the tube polynomial of an isometrically embedded ri…
math.CO2025
An Intersection Product for the Polytope Algebra
Thomas Wannerer
We introduce a new multiplication for the polytope algebra, defined via the intersection of polytopes. After establishing the foundational properties of this intersection product,…