  As a continuation of our preceding work [R. Erdem and N. Alata, Eur. Phys. J.
Plus 135, 911 (2020), https://doi.org/10.1140/epjp/s13360-020-00934-3], we used
the thermodynamic geometry in the Ruppeiner formalism to study the geometrical
aspects of the multicritical phase diagrams for the spin-1 Blume-Emery-
Griffiths model in the presence of crystal field. We derived an expression for
the thermodynamic curvature or Ricci scalar (R) and analyzed its temperature
and crystal field behaviours near interesting critical and multicritical
points. Our findings are presented as geometrical phase diagrams including
critical and multicritical topology. From these diagrams, new vanishing
curvature lines (R = 0) extending into the ferromagnetic or paramagnetic phases
beyond the critical points and zero point temperature are observed.
