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A survey of the hypoelliptic Laplacian. (English) Zbl 1180.58001
Hijazi, Oussama (ed.), Géométrie différentielle, physique mathématique, mathématiques et société (II). Volume en l’honneur de Jean Pierre Bourguignon. Paris: Société Mathématique de France (ISBN 978-2-85629-259-4/pbk). Astérisque 322, 39-69 (2008).
The paper is a review on the construction of the hypoelliptic Laplacian in the context of de Rham theory for smooth manifolds and on the construction of Dirac operator in the context of complex Kähler manifolds.
For the entire collection see [Zbl 1160.53004].

MSC:
58A14 Hodge theory in global analysis
58J20 Index theory and related fixed-point theorems on manifolds
35H10 Hypoelliptic equations
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