On a uniqueness theorem in conformal mapping.

A note on spectral mapping theorem

This paper aims to present the well-known spectral mapping theorem for multi-variable functions.

A General Theorem on Conformal Mapping of Multiply Connected Domains.

Isothermal Spherical Perfect Uid Model: Uniqueness and Conformal Mapping

We prove the theorem: The necessary and suucient condition for a spherically symmetric spacetime to represent an isothermal perfect uid (barotropic equation of state with density falling oo as inverse square of the curvature radius) distribution without boundary is that it is conformal to the \minimally" curved (gravitation only manifesting in tidal acceleration and being absent in particle tra...

Isothermal spherical perfect fluid model: Uniqueness and Conformal mapping

We prove the theorem: The necessary and sufficient condition for a spherically symmetric spacetime to represent an isothermal perfect fluid (barotropic equation of state with density falling off as inverse square of the curvature radius) distribution without boundary is that it is conformal to the “minimally” curved (gravitation only manifesting in tidal acceleration and being absent in particl...

A Conformal Extension Theorem based on Null Conformal Geodesics

In this article we describe the formulation of null geodesics as null conformal geodesics and their description in the tractor formalism. A conformal extension theorem through an isotropic singularity is proven by requiring the boundedness of the tractor curvature and its derivatives to sufficient order along a congruence of null conformal geodesic. This article extends earlier work by Tod and ...