Twistor Theory for Riemannian Symmetric Spaces (Record no. 30803)

000 -LEADER
fixed length control field 02911nam a22004935i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540470526
-- 978-3-540-47052-6
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.36
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Burstall, Francis E.
245 10 - TITLE STATEMENT
Title Twistor Theory for Riemannian Symmetric Spaces
Sub Title With Applications to Harmonic Maps of Riemann Surfaces /
Statement of responsibility, etc by Francis E. Burstall, John H. Rawnsley.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg :
-- Imprint: Springer,
Year of publication 1990.
300 ## - PHYSICAL DESCRIPTION
Number of Pages 110 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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 2-spheres -- Factorisation of harmonic spheres in Lie groups.
520 ## - SUMMARY, ETC.
Summary, etc 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 2-spheres in Riemannian symmetric spaces and a Bäcklund transform for harmonic 2-spheres 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Topological Groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Global differential geometry.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Differential Geometry.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Topological Groups, Lie Groups.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Rawnsley, John H.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/BFb0095561
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 1990.
336 ## -
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-- txt
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-- rdamedia
338 ## -
-- online resource
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347 ## -
-- text file
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0075-8434 ;
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK1509 http://dx.doi.org/10.1007/BFb0095561 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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