Comment on ‘‘Conformal transformations single out a unique measure of distance’’

Conformal transformations single out a unique measure of distance.

We discuss the consequences of the incorrectness [see the Erratum in Phys. Rev D 49, 1145 (1994)] of that paper and add two related remarks. The scope of this comment is to encourage further research on: ”Which of the conformally equivalent metrics is the physical one?” PACS numbers: 04.20, 04.50 1 Cotsakis [1] considers the D-dimensional Lagrangian density

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

a characterization of the infinitesimal conformal transformations on tangent bundles

Revision of a fuzzy distance measure

Some Transformations Having a Unique Measure with Maximal Entropy

1. Introduction Let X be a compact metric space and T: X-> X a homeomorphism of X onto X. Let M(T) denote the collection of all T-invariant Borel probability measures on X. By Krylov and Bogolioubov's work we know M(T) is non-empty (see [10]). M{T) is a convex set and closed in the weak topology. For /x e M(T), h(T, p) will denote the measure-theoretic entropy of T with respect to p. Ifh top (T...