13 citations · 62 across the 26 of their papers we have counts for
Showing 2017 · math.MGShow all
3 papers · 2 filters
math.MG2017
Polyhedral Gauss-Bonnet theorems and valuations
Rolf Schneider
The Gauss-Bonnet theorem for a polyhedron (a union of finitely many compact convex polytopes) in -dimensional Euclidean space expresses the Euler characteristic of the polyhedro…
math.MG2017
Intersection probabilities and kinematic formulas for polyhedral cones
Rolf Schneider
For polyhedral convex cones in , we give a proof for the conic kinematic formula for conic curvature measures, which avoids the use of characterization theorems. For…
math.MG2017
A Brunn-Minkowski theory for coconvex sets of finite volume
Rolf Schneider
Let be a closed convex cone in , pointed and with interior points. We consider sets of the form , where is a closed…