P. Walczak

collaborators

2 papers

math.DG2019

Deforming convex bodies in Minkowski geometry

Vladimir Rovenski, Pawel Walczak

We introduce and study deformation $T_{b, ϕ}$ of Minkowski norms in $R^{n}$ , determined by a set $b = (β_{1}, \dots, β_{p})$ of linearly independent 1-forms and a smooth…

math.DG2019

Variations of the Godbillon--Vey invariant of transversely parallelizable foliations

Vladimir Rovenski, Paweł Walczak

We consider a $(2 q + 1)$ -dimensional smooth manifold $M$ equipped with a $(q + 1)$ -dimensional, a priori non-integrable, distribution $D$ and a $q$ -vector field ${\bf T}=T_1\wed…