# Kinematic formulas for sets defined by differences of convex functions

13 Oct 2015 Fu Joseph H. G. Pokorny Dusan Rataj Jan

Two of the authors have defined the class $WDC(M)$ as the class of all subsets of a smooth manifold $M$ that may be expressed in local coordinates as certain sublevel sets of DC (differences of convex) functions. If $M$ is Riemanian and $G$ is a group of isometries acting transitively on the sphere bundle $SM$, we define the invariant curvature measures of compact \WDC~ subsets of $M$, and show that pairs of such subsets are subject to the array of kinematic formulas known to apply to smoother sets... (read more)

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• DIFFERENTIAL GEOMETRY