Cargando…
Geometric analysis /
The aim of this graduate-level text is to equip the reader with the basic tools and techniques needed for research in various areas of geometric analysis. Throughout, the main theme is to present the interaction of partial differential equations and differential geometry. More specifically, emphasis...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
|
| Colección: | Cambridge studies in advanced mathematics ;
134. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 134; Geometric Analysis; CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS; Title; Copyright; Dedication; Contents; Preface; 1 First and second variational formulas for area; 2 Volume comparison theorem; 3 Bochner-Weitzenböck formulas; 4 Laplacian comparison theorem; 5 Poincaré inequality and the first eigenvalue; 6 Gradient estimate and Harnack inequality; 7 Mean value inequality; 8 Reilly's formula and applications; 9 Isoperimetric inequalities and Sobolev inequalities; 10 The heat equation; 11 Properties and estimates of the heat kernel.