Twistor Theory for Riemannian Symmetric Spaces (Record no. 30803)
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000 -LEADER | |
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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 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 0075-8434 ; |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | EBK1509 | http://dx.doi.org/10.1007/BFb0095561 | E-BOOKS |