Renormalization of potentials and generalized centers

Details Renormalization of potentials and generalized centers Renormalization of potentials and generalized centers

2010-08-16

arxiv.org/abs/1008.2731v6

Mathematics

Differential Geometry

to appear in Adv. Appl. Math

Scientific paper

We generalize the Riesz potential of a compact domain in $\mathbb{R}^{m}$ by introducing a renormalization of the $r^{\alpha-m}$-potential for $\alpha\le0$. This can be considered as generalization of the dual mixed volumes of convex bodies as introduced by Lutwak. We then study the points where the extreme values of the (renormalized) potentials are attained. These points can be considered as a generalization of the center of mass. We also show that only balls give extreme values among bodied with the same volume.

Affiliated with

Also associated with

No associations

Rating

Renormalization of potentials and generalized centers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Renormalization of potentials and generalized centers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization of potentials and generalized centers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-178319