Fundamental Equations on Conformal Fedosov Spaces

The present work is devoted to the study of the basic equations of conformally Fedosov structures. These equations are obtained in the form of closed linear equations in covariant derivatives of the Cauchy type. It is established that the general solution depends on no more than \(1/2n(n + 1)\) numerical parameters. The maximum is achieved in projectively Euclidean spaces. Estimates are found for these equations’ dependence on spaces that are not projectively Euclidean.