3 papers
math.DG2024
On the Gaussian Kinematic Formula of R. Adler and J. Taylor
Joseph H. G. Fu
We apply methods of algebraic integral geometry to prove a special case of the Gaussian kinematic formula of Adler-Taylor. The idea, suggested already by Adler and Taylor, is to vi…
math.DG2006
Convolution of convex valuations
Andreas Bernig, Joseph H. G. Fu
We show that the natural "convolution" on the space of smooth, even, translation-invariant convex valuations on a euclidean space , obtained by intertwining the product and the…
math.DG2004
Criticality for the Gehring link problem
Jason Cantarella, Joseph H G Fu, Rob Kusner +2
In 1974, Gehring posed the problem of minimizing the length of two linked curves separated by unit distance. This constraint can be viewed as a measure of thickness for links, and…