Kähler-Einstein Metrics and Integral Invariants (Record no. 9741)
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000 -LEADER | |
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fixed length control field | 02998nam a22004815i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-540-39172-2 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20190213151149.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 121227s1988 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783540391722 |
-- | 978-3-540-39172-2 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/BFb0078084 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA641-670 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBMP |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT012030 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBMP |
Source | thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 516.36 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Futaki, Akito. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT | |
Title | Kähler-Einstein Metrics and Integral Invariants |
Medium | [electronic resource] / |
Statement of responsibility, etc | by Akito Futaki. |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg : |
-- | Imprint: Springer, |
-- | 1988. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | IV, 140 p. |
Other physical details | online resource. |
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-- | text |
-- | txt |
-- | rdacontent |
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-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
International Standard Serial Number | 0075-8434 ; |
Volume number/sequential designation | 1314 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 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. |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Global differential geometry. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Geometry, algebraic. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Differential Geometry. |
-- | http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Algebraic Geometry. |
-- | http://scigraph.springernature.com/things/product-market-codes/M11019 |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783662207192 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783540192503 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Lecture Notes in Mathematics, |
-- | 0075-8434 ; |
Volume number/sequential designation | 1314 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/BFb0078084 |
912 ## - | |
-- | ZDB-2-SMA |
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-- | ZDB-2-LNM |
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