The Hypoelliptic Laplacian And Ray-singer Metrics. (am-167) (annals Of Mathematics Studies)
by Jean-Michel Bismut /
2008 / English / PDF
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This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion.
