The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) /

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...

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Bibliographic Details
Main Author: Bismut, Jean-Michel
Other Authors: Lebeau, Gilles
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2008.
Series:Book collections on Project MUSE.
Subjects:
Tweede orde.
Partiële differentiaalvergelijkingen.
Metrische ruimten.
Laplace-operatoren.
Elliptische differentiaalvergelijkingen.
Laplace-Operator
Hypoelliptischer Operator
Hodge-Theorie
Metric spaces.
Laplacian operator.
Differential equations, Hypoelliptic.
MATHEMATICS > Geometry > General.
MATHEMATICS > Functional Analysis.
Espaces metriques.
Laplacien.
Équations differentielles hypo-elliptiques.
Electronic books.
Online Access:Texto completo
Description
Summary: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. The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. The authors give th.
Physical Description:1 online resource: illustrations
ISBN:9781400829064

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