Kähler-Einstein Metrics and Integral Invariants
These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifo...
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Saila: | Lecture notes in mathematics
1314 |
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| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| Edition sous un autre format: | • Kähler-Einstein metrics and integral invariants, Akito Futaki, 1988, Berlin, Springer-Verlag, 1 volume (IV-139 pages), Lecture notes in mathematics, 0-387-19250-6 • Kähler-Einstein Metrics and Integral Invariants, Texte imprimé, 9783662207192 |
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| 100 | 1 | |a Futaki, Akito, |d 1954- | |
| 245 | 1 | 0 | |a Kähler-Einstein Metrics and Integral Invariants |c Akito Futaki. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1314 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preliminaries -- Kähler-Einstein metrics and extremal Kähler metrics -- The character f and its generalization to Kählerian invariants -- The character f as an obstruction -- The character f as a classical invariant -- Lifting f to a group character -- The character f as a moment map -- Aubin's approach and related results. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kähler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kähler-Einstein metric and lifting to a group character. Other related topics such as extremal Kähler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Kählerian geometry and Chern-Simons theory are presented in full detail, these notes are accessible to graduate students as well as to specialists of the subject. | ||
| 650 | |a Structures kählériennes | ||
| 650 | |a Structures hermitiennes | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Variétés complexes | ||
| 776 | 0 | |0 020711999 |t Kähler-Einstein metrics and integral invariants |f Akito Futaki |d 1988 |c Berlin |n Springer-Verlag |p 1 volume (IV-139 pages) |s Lecture notes in mathematics |z 0-387-19250-6 | |
| 776 | 0 | |t Kähler-Einstein Metrics and Integral Invariants |b Texte imprimé |z 9783662207192 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0078084 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-C90Q7J3S-M |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750662948 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0078084 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754012395 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0078084 |z Accès INSA CVL | |
| 997 | |0 970460 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||