Geometry of Locally Conformal C-12 Manifolds

Abstract

This study deals with the class of locally conformal manifolds in such a way that the characterization identity for the aforementioned class is produced. Furthermore, the first clan of Cartan's structure equations is determined when the components of Kirichenko's tensors on associated G-structures for locally conformal manifolds are determined. The second clan of Cartan's structural equations for locally conformal manifolds was also completed.