Thermodynamic geometry and phase transition of spinning AdS black holes

Employing the thermodynamic geometry approach, we explore phase transition of four dimensional spinning black holes in an anti-de Sitter (AdS) spaces and found following novel results. (i) Contrary to charged AdS hole, curvature hole diverges at critical point, without needing normalization.(ii) There is a certain region with small entropy space parameters for which positive repulsive interaction dominates. Such behavior exists even when pressure extremely large. (iii) The dominant interactions microstructure extremal are strongly repulsive, similar ideal gas fermions zero temperature. (iv) maximum curvature, $ \left\vert R\right\vert $, equal $C_{{}_{P}}$ values Van der Waals fluid supercritical region. While they close each other near point.