CONFORMAL TRANSFORMATIONS IN A TWISTED PRODUCT SPACE

Twisted Product Cr-submanifolds in a Locally Conformal Kaehler Manifold

Recently, we researched certain twisted product CR-submanifolds in a Kaehler manifold and some inequalities of the second fundamental form of this submanifold ([11]). In this talk, we consider two kind twisted product CR-submanifolds in a locally conformal Kaehler manifold. In these submanifolds, we give a inequality of the second fundamental form (See Theorems 5.3 and 5.4) and consider the equ...

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

On boundary terms and conformal transformations in curved space-times

We intend to clarify the interplay between boundary terms and conformal transformations in scalar-tensor theories of gravity. We first consider the action for pure gravity in five dimensions and show that, on compactifing a la Kaluza-Klein to four dimensions, one obtains the correct boundary terms in the Jordan (or String) Frame form of the Brans-Dicke action. Further, we analyze how the bounda...

a characterization of the infinitesimal conformal transformations on tangent bundles

Twisted Conformal Algebra so(4,2)

A new twisted deformation, Uz(so(4, 2)), of the conformal algebra of the (3+1)-dimensional Minkowskian spacetime is presented. This construction is provided by a classical r-matrix spanned by ten Weyl–Poincaré generators, which generalizes non-standard quantum deformations previously obtained for so(2, 2) and so(3, 2). However, by introducing a conformal nullplane basis it is found that the twi...