000 | 03232nam a22005175i 4500 | ||
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001 | 978-3-540-47052-6 | ||
003 | DE-He213 | ||
005 | 20190213151207.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1990 gw | s |||| 0|eng d | ||
020 |
_a9783540470526 _9978-3-540-47052-6 |
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024 | 7 |
_a10.1007/BFb0095561 _2doi |
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050 | 4 | _aQA641-670 | |
072 | 7 |
_aPBMP _2bicssc |
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072 | 7 |
_aMAT012030 _2bisacsh |
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072 | 7 |
_aPBMP _2thema |
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082 | 0 | 4 |
_a516.36 _223 |
100 | 1 |
_aBurstall, Francis E. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aTwistor Theory for Riemannian Symmetric Spaces _h[electronic resource] : _bWith Applications to Harmonic Maps of Riemann Surfaces / _cby Francis E. Burstall, John H. Rawnsley. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1990. |
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300 |
_a110 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1424 |
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505 | 0 | _aHomogeneous 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 | _aIn 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 | _aGlobal differential geometry. | |
650 | 0 | _aTopological Groups. | |
650 | 0 | _aFourier analysis. | |
650 | 1 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aFourier Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12058 |
700 | 1 |
_aRawnsley, John H. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540526025 |
776 | 0 | 8 |
_iPrinted edition: _z9783662186916 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1424 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0095561 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9841 _d9841 |