Maximum power’s transfer and conformal transformations in the complex plane

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

Multivalued Fields on the Complex Plane and Conformal Field Theories

In this paper a class of conformal field theories with nonabelian and discrete group of symmetry is investigated. These theories are realized in terms of free scalar fields starting from the simple b− c systems and scalar fields on algebraic curves. The KnizhnikZamolodchikov equations for the conformal blocks can be explicitly solved. Besides of the fact that one obtains in this way an entire c...

Complex Plane Transformations for Manipulation and Visualization of Panoramas

We present a method for manipulation and visualization of wide-angle images using transformations defined on the complex plane C. We map the unit sphere S2 to C using the stereographic projection, multiply the complex plane by a given complex number, and map the result back to the sphere using the inverse of the stereographic projection. Since all these transformations preserve angle, we obtain...

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 ...

a characterization of the infinitesimal conformal transformations on tangent bundles