The hypoelliptic Laplacian of J.-M. Bismut

Gilles Lebeau ()
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Gilles Lebeau: Université de Nice Sophia-Antipolis, Parc Valrose, Département de Mathématiques

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 179-194 from Springer

Abstract: Abstract In recents works, J.-M. Bismut has introduced an “hypoelliptic Laplacian” acting on differentials forms on the cotangent bundle T*X of a Riemannian compact manifold X. This operator is a deformation of the Hodge Laplacian on X. We present here some analytic properties of this new operator.

Keywords: Bilinear Form; Heat Kernel; Cotangent Bundle; Riemannian Compact Manifold; Degenerate Minimum (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-73240-2_17

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DOI: 10.1007/978-4-431-73240-2_17

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