Conformal Unitary Spaces

Four Dimensional Conformal C-spaces

We investigate the structure of conformal C-spaces, a class of Riemmanian man-ifolds which naturally arises as a conformal generalisation of the Einstein condition. A basic question is when such a structure is closed, or equivalently locally conformally Cotton. In dimension 4 we obtain a full answer to this question and also investigate the incidence of the Bach condition on this class of metri...

Conformal geometry of Fefferman spaces

Symmetric Spaces with Conformal Symmetry

We consider an involutive automorphism of the conformal algebra and the resulting symmetric space. We display a new action of the conformal group which gives rise to this space. The space has an intrinsic symplectic structure, a group-invariant metric and connection, and serves as the model space for a new conformal gauge theory. ∗Electronic-mail: [email protected]

Conformal Vector Fields in Symmetric and Conformal Symmetric Spaces

Consequences of the existence of conformal vector fields in (locally) symmetric and conformal symmetric spaces, have been obtained. An attempt has been made for a physical interpretation of the consequences in the framework of general relativity.

Conformal Derivative and Conformal Transports over (l N , G) Spaces

Transports preserving the angle between two contravariant vector fields but changing their lengths proportional to their own lengths are introduced as " conformal " transports and investigated over (Ln, g)-spaces. They are more general than the Fermi-Walker transports. In an analogous way as in the case of Fermi-Walker transports a conformal covariant differential operator and its conformal der...