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Théorèmes de l’indice sur les variétés non-compactes. (Index theorems for noncompact manifolds). (French) Zbl 1014.58012
Author’s abstract: We give a formula for the extended index of a Dirac type operator on a complete non-compact Riemannian manifold. For this, we show that this index is the index of the restriction to a compact set together with a boundary condition. This condition comes from a natural elliptic complex on the boundary of the compact set. This result generalizes a result of Atiyah-Patodi-Singer about manifolds with cylindrical end.
Reviewer: W.Mozgawa (Lublin)

MSC:
 58J20 Index theory and related fixed-point theorems on manifolds 58J32 Boundary value problems on manifolds
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References:
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