2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/203450We perform a calculation of the first and second order infinitesimal variations, with respect to energy, of the Boltzmann entropy of constant energy hypersurfaces of a system with a finite number of degrees of freedom. We comment on the stability interpretation of the second variation in this framework.9 pages, no figuresStatistical MechanicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical PhysicsGeometric variations of the Boltzmann entropytext