On `The conformal metric structure of Geometrothermodynamics': Generalizations

Understand

We show that the range of applicability of the change of representation formula derived in J.

• Math.
• Phys.
• \textbf{54}, 033513 (2013) [arXiv:1302.6928] is very narrow and extend it to include all physical applications, particularly, applications to black hole thermodynamics, cosmology and fluid thermodynamics.