The Resource Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley
Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley
Resource Information
The item Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley 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 Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley 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
 In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2spheres in Riemannian symmetric spaces and a Bcklund transform for harmonic 2spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds
 Language
 eng
 Extent
 1 online resource (112 pages).
 Contents

 Homogeneous geometry
 Harmonic maps and twistor spaces
 Symmetric spaces
 Flag manifolds
 The twistor space of a Riemannian symmetric space
 Twistor lifts over Riemannian symmetric spaces
 Stable Harmonic 2spheres
 Factorisation of harmonic spheres in Lie groups
 Isbn
 9783540470526
 Label
 Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces
 Title
 Twistor theory for Riemannian symmetric spaces
 Title remainder
 with applications to harmonic maps of Riemann surfaces
 Statement of responsibility
 Francis E. Burstall, John H. Rawnsley
 Language
 eng
 Summary
 In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2spheres in Riemannian symmetric spaces and a Bcklund transform for harmonic 2spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds
 Action
 digitized
 Cataloging source
 SPLNM
 http://library.link/vocab/creatorDate
 1956
 http://library.link/vocab/creatorName
 Burstall, Francis E.
 Dewey number
 515.53
 Index
 index present
 LC call number

 QA3
 QA614.73
 LC item number
 .L28 no. 1424
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1947
 http://library.link/vocab/relatedWorkOrContributorName
 Rawnsley, John H.
 Series statement
 Lecture notes in mathematics,
 Series volume
 1424
 http://library.link/vocab/subjectName

 Harmonic maps
 Twistor theory
 Symmetric spaces
 Manifolds (Mathematics)
 Harmonic maps
 Manifolds (Mathematics)
 Symmetric spaces
 Twistor theory
 Label
 Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley
 Bibliography note
 Includes bibliographical references (pages 108110) 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
 Homogeneous geometry  Harmonic maps and twistor spaces  Symmetric spaces  Flag manifolds  The twistor space of a Riemannian symmetric space  Twistor lifts over Riemannian symmetric spaces  Stable Harmonic 2spheres  Factorisation of harmonic spheres in Lie groups
 Control code
 298644330
 Dimensions
 unknown
 Extent
 1 online resource (112 pages).
 Form of item
 online
 Isbn
 9783540470526
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)298644330
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
 Label
 Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley
 Bibliography note
 Includes bibliographical references (pages 108110) 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
 Homogeneous geometry  Harmonic maps and twistor spaces  Symmetric spaces  Flag manifolds  The twistor space of a Riemannian symmetric space  Twistor lifts over Riemannian symmetric spaces  Stable Harmonic 2spheres  Factorisation of harmonic spheres in Lie groups
 Control code
 298644330
 Dimensions
 unknown
 Extent
 1 online resource (112 pages).
 Form of item
 online
 Isbn
 9783540470526
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)298644330
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/TwistortheoryforRiemanniansymmetricspaces/Y_lFJ_iTM8/" 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/TwistortheoryforRiemanniansymmetricspaces/Y_lFJ_iTM8/">Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley</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>