The Resource Kähler-Einstein metrics and integral invariants, Akito Futaki
Kähler-Einstein metrics and integral invariants, Akito Futaki
Resource Information
The item Kähler-Einstein metrics and integral invariants, Akito Futaki represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Kähler-Einstein metrics and integral invariants, Akito Futaki represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- These notes present very recent results on compact Khler-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 Khler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Khler-Einstein metric and lifting to a group character. Other related topics such as extremal Khler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Khlerian 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
- Language
- eng
- Extent
- 1 online resource (iv, 139 pages).
- Contents
-
- Introduction
- Preliminaries
- Khler-Einstein Metrics and Extremal Khler Metrics
- The Character f and its Generalization to Khlerian 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
- References
- Index
- Isbn
- 9783540391722
- Label
- Kähler-Einstein metrics and integral invariants
- Title
- Kähler-Einstein metrics and integral invariants
- Statement of responsibility
- Akito Futaki
- Subject
-
- Complex manifolds
- Complex manifolds
- Complex manifolds
- Hermitian structures
- Hermitian structures
- Hermitian structures
- Kompakte komplexe Mannigfaltigkeit
- Kähler-Einstein-Metrik
- Kählerian structures
- Kählerian structures
- Kählerian structures
- Riemann-vlakken
- Structures hermitiennes
- Structures kählériennes
- Variétés complexes
- Algebraïsche meetkunde
- Language
- eng
- Summary
- These notes present very recent results on compact Khler-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 Khler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Khler-Einstein metric and lifting to a group character. Other related topics such as extremal Khler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Khlerian 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
- Cataloging source
- SPLNM
- http://library.link/vocab/creatorDate
- 1954-
- http://library.link/vocab/creatorName
- Futaki, Akito
- Dewey number
-
- 510 s
- 516.3/62
- Index
- index present
- LC call number
-
- QA3
- QA614
- LC item number
- .L28 no. 1314
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- Lecture notes in mathematics,
- Series volume
- 1314
- http://library.link/vocab/subjectName
-
- Complex manifolds
- Hermitian structures
- Kählerian structures
- Variétés complexes
- Structures hermitiennes
- Structures kählériennes
- Complex manifolds
- Hermitian structures
- Riemann-vlakken
- Kählerian structures
- Algebraïsche meetkunde
- Kähler-Einstein-Metrik
- Kompakte komplexe Mannigfaltigkeit
- Label
- Kähler-Einstein metrics and integral invariants, Akito Futaki
- Bibliography note
- Includes bibliographical references (pages 133-139) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Introduction -- Preliminaries -- Khler-Einstein Metrics and Extremal Khler Metrics -- The Character f and its Generalization to Khlerian 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 -- References -- Index
- Control code
- 294933437
- Dimensions
- unknown
- Extent
- 1 online resource (iv, 139 pages).
- Form of item
- online
- Isbn
- 9783540391722
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)294933437
- Label
- Kähler-Einstein metrics and integral invariants, Akito Futaki
- Bibliography note
- Includes bibliographical references (pages 133-139) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Introduction -- Preliminaries -- Khler-Einstein Metrics and Extremal Khler Metrics -- The Character f and its Generalization to Khlerian 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 -- References -- Index
- Control code
- 294933437
- Dimensions
- unknown
- Extent
- 1 online resource (iv, 139 pages).
- Form of item
- online
- Isbn
- 9783540391722
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)294933437
Subject
- Complex manifolds
- Complex manifolds
- Complex manifolds
- Hermitian structures
- Hermitian structures
- Hermitian structures
- Kompakte komplexe Mannigfaltigkeit
- Kähler-Einstein-Metrik
- Kählerian structures
- Kählerian structures
- Kählerian structures
- Riemann-vlakken
- Structures hermitiennes
- Structures kählériennes
- Variétés complexes
- Algebraïsche meetkunde
Member of
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/K%C3%A4hler-Einstein-metrics-and-integral-invariants/AcvlN_6jaIQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/K%C3%A4hler-Einstein-metrics-and-integral-invariants/AcvlN_6jaIQ/">Kähler-Einstein metrics and integral invariants, Akito Futaki</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Kähler-Einstein metrics and integral invariants, Akito Futaki
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/K%C3%A4hler-Einstein-metrics-and-integral-invariants/AcvlN_6jaIQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/K%C3%A4hler-Einstein-metrics-and-integral-invariants/AcvlN_6jaIQ/">Kähler-Einstein metrics and integral invariants, Akito Futaki</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
