Exotic heat equations that allow to prove the Poincaré conjecture, some related problems and suitable generalizations too are considered. The methodology used is the PDE's algebraic topology, introduced by A. Prástaro in the geometry of PDE's, in order to characterize global solutions.
"Exotic Heat PDE’s." Commun. Math. Anal. 10 (1) 64 - 81, 2011.