  We report on an investigation of Ruppeiner curvature $R_U$ for
$(d+1)$-dimensional hyperbolic black holes in anti-de Sitter spacetimes and its
connection with Renormalization Group (RG) flows in the dual d-dimensional
conformal field theories (CFTs) in Minkowski spacetimes. A repulsive type
interaction among microstructures is found, which is weaker for positive mass
black holes and grows stronger for negative mass black holes at low
temperatures. In particular, we show that $R_U$ evaluated along a zero mass
curve is a universal constant, depending only on the dimension of space-time.
The extremal black holes are pointed out to have a positive Ruppeiner curvature
irrespective of their horizon topology.
