Complex Monge Ampère Equations and Geodesics in the Space of Kähler Metrics
The purpose of these lecture notes is to provide an introduction to the theory of complex Monge-Ampère operators (definition, regularity issues, geometric properties of solutions, approximation) on compact Kähler manifolds (with or without boundary). These operators are of central use in several fun...
Salvato in:
| Altri autori: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2012. |
| Serie: | Lecture Notes in Mathematics
2038 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 310 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Complex Monge-Ampère equations and geodesics in the space of Kähler metrics, Vincent Guedj, editor, Heidelberg, Springer, 2012, 1 vol. (VIII-310 p.), Lecture notes in mathematics, 978-3-642-23668-6 • Complex Monge-Ampère equations and geodesics in the space of Kähler metrics, Vincent Guedj, editor, Heidelberg, Springer, 2012, 1 vol. (VIII-310 p.), Lecture notes in mathematics, 978-3-642-23668-6 • Complex Monge-Ampère Equations and Geodesics in the Space of Kähler Metrics, Texte imprimé, 9783642236709 |
Sommario:
- 1.Introduction I. The Local Homogenious Dirichlet Problem.-2. Dirichlet Problem in Domains of Cn 3. Geometric Maximality II. Stochastic Analysis for the Monge-Ampère Equation 4. Probabilistic Approach to Regularity III. Monge-Ampère Equations on Compact Manifolds 5.The Calabi-Yau Theorem IV Geodesics in the Space of Kähler Metrics 6. The Riemannian Space of Kähler Metrics 7. MA Equations on Manifolds with Boundary 8. Bergman Geodesics.