On Geometry of Locally Conformal C_12-Manifolds

Abstract

This study focuses on the analysis of a specific category of locally conformal C12-manifolds. Through this investigation, the researchers were able to establish an identity that characterizes this particular class of manifolds. Furthermore, the initial set of Cartan's structure equations is established subsequent to the determination of the components of Kirichenko's tensors on the corresponding G-structure for locally conformal C12-manifolds. In conclusion, the second set of Cartan's structure equations pertaining to locally conformal C12-manifolds has been finalized.