Exotic Heat PDE’s.II

Agostino Prástaro ()
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Agostino Prástaro: University of Roma “La Sapienza”, Department SBAI, Mathematics (ex MEMOMAT)

A chapter in Essays in Mathematics and its Applications, 2012, pp 369-419 from Springer

Abstract: Abstract Exotic heat equations that allow to prove the Poincaré conjecture and its generalizations to any dimension 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. In particular it is shown that this theory allows us to identify n-dimensional exotic spheres, i.e., homotopy spheres that are homeomorphic, but not diffeomorphic to the standard $${S}^{n}$$ .

Keywords: Homotopy Sphere; Exotic Spheres; Ricci flow Equation; Smooth Integral Manifold; Border Integration (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-28821-0_15

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DOI: 10.1007/978-3-642-28821-0_15

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