$V$-Transformations of Finsler spaces I. Definition, infinitesimal transformations and isometries

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

Transformations of Grassmann Spaces I (preliminary Version)

2 Grassmann spaces 13 2.1 Adjacency relation . . . . . . . . . . . . . . . . . . . . . . . . 13 2.2 Base subsets . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.3 Principles of duality for projective spaces . . . . . . . . . . . . 18 2.4 Mappings induced by strong embeddings . . . . . . . . . . . . 19 2.5 Adjacency preserving transformations . . . . . . . . . . . . . . 21 2.6 Trans...

On Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric

Let  be an n-dimensional Riemannian manifold, and  be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation  induces an infinitesimal homothetic transformation on .  Furthermore,  the correspondence   gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on  onto the Lie algebra of infinitesimal ...

Gürses's type (b) transformations are neighborhood isometries.

Following an idea close to one given by C. G. Torre (private communication), we prove that Riemannian spaces (M,g) and (M,h) that are related by a Gürses type (b) transformation [M. Gürses, Phys. Rev. Lett. 70, 367 (1993)] or, equivalently, by a Torre-Anderson generalized diffeomorphism [C. G. Torre and I. M. Anderson, Phys. Rev. Lett. xx, xxx (1993)] are neighborhood-isometric, i.e., every poi...

a characterization of the infinitesimal conformal transformations on tangent bundles