Kähler-Einstein Metrics and Integral Invariants (Record no. 9741)

MARC details
000 -LEADER
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.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- 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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-- ZDB-2-BAE

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