Checking the condition of projective bending for real gases

Abstract

The article discusses the concept of projective differential geometry. It verifies the fulfillment of the condition of projective bending for a real gas in the convergence region of the virial decomposition. It is shown that thermodynamic surfaces corresponding to inert gases in the convergence region of the virial decomposition satisfy the conditions of projective bending. The resulting solution can be used for further analysis of the properties of thermodynamic systems using the apparatus of projective differential geometry.