Un théorème de l’indice relatif

Gilles Carron

Vol. 198 (2001), No. 1, 81–107

DOI: 10.2140/pjm.2001.198.81

Abstract

We study Dirac type operator on non-compact Riemannian manifold. We give a general criterion which implies that the L²-kernel of such an operator has finite dimension. Moreover, we show that a relatif (extended) index theorem holds for such operators.

Milestones

Received: 26 May 1999

Revised: 10 September 1999

Published: 1 March 2001