The Hypoelliptic Laplacian and Ray Singer Metrics
The Hypoelliptic Laplacian and Ray-Singer Metrics
Publisher: Princeton University Press | ISBN: 0691137315 | edition 2008 | PDF | 376 pages | 10,6 mb
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.
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Princeton University Press Michel Bismut Analytic Torsion Geodesic Flow Cotangent Bundle Analytic Properties Laplacian Compact Manifold Index Theory Jean Michel Metrics Gilles Foundations Mirror Perspective Publisher Acting Presents
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