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The hypoelliptic Laplacian and Ray-Singer metrics /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2008.
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| Colección: | Annals of mathematics studies ;
no. 167. |
| Temas: | |
| Acceso en línea: | Texto completo |
| 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. |
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| Descripción Física: | 1 online resource (viii, 367 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 353-357) and indexes. |
| ISBN: | 9781400829064 1400829062 9786612458378 6612458372 |