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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Detalles Bibliográficos
Autor principal: Bismut, Jean-Michel
Otros Autores: Lebeau, Gilles
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2008.
Colección:Book collections on Project MUSE.
Temas:
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.
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource: illustrations
ISBN:9781400829064

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