Deforming convex bodies in Minkowski geometry

We introduce and study certain deformation of Minkowski norms in [Formula: see text] determined by a set linearly independent 1-forms smooth positive function variables. In particular, the Euclidean norm produces defined our recent work; its indicatrix is rotation hypersurface with text]-dimensional axis passing through origin. For text], generalizes construction text]-norms which form rich class “computable” play an important role Finsler geometry. characterize such pairs image that Cartan torsions two either coincide or differ text]-reducible term. conjecture for any can be approximated images norm.