%0 Journal Article %T Volume preserving centro-affine normal flows %A Mohammad N. Ivaki %A Alina Stancu %J Mathematics %D 2012 %I arXiv %X We study the long time behavior of the volume preserving $p$-flow in $\mathbb{R}^{n+1}$ for $1\leq p<\frac{n+1}{n-1}$. By extending Andrews' technique for the flow along the affine normal, we prove that every centrally symmetric solution to the volume preserving $p$-flow converges sequentially to the unit ball in the $C^{\infty}$ topology, modulo the group of special linear transformations. %U http://arxiv.org/abs/1211.7105v3