000 | 02920nam a22005055i 4500 | ||
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001 | 978-3-540-45301-7 | ||
003 | DE-He213 | ||
005 | 20190213151537.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540453017 _9978-3-540-45301-7 |
||
024 | 7 |
_a10.1007/b82935 _2doi |
|
050 | 4 | _aQA641-670 | |
072 | 7 |
_aPBMP _2bicssc |
|
072 | 7 |
_aMAT012030 _2bisacsh |
|
072 | 7 |
_aPBMP _2thema |
|
082 | 0 | 4 |
_a516.36 _223 |
100 | 1 |
_aBurstall, Francis E. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aConformal Geometry of Surfaces in S4 and Quaternions _h[electronic resource] / _cby Francis E. Burstall, Dirk Ferus, Katrin Leschke, Franz Pedit, Ulrich Pinkall. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
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300 |
_aVIII, 96 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1772 |
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505 | 0 | _aQuaternions -- Linear algebra over the quaternions -- Projective spaces -- Vector bundles -- The mean curvature sphere -- Willmore Surfaces -- Metric and affine conformal geometry -- Twistor projections -- Bäcklund transforms of Willmore surfaces -- Willmore surfaces in S3 -- Spherical Willmore surfaces in HP1 -- Darboux transforms -- Appendix: The bundle L. Holomorphicity and the Ejiri theorem. | |
520 | _aThe conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of surfaces on the basis of a quaternionic-valued function theory. The book offers an elementary introduction to the subject but takes the reader to rather advanced topics. Willmore surfaces in the foursphere, their Bäcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given. | ||
650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
700 | 1 |
_aFerus, Dirk. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aLeschke, Katrin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aPedit, Franz. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aPinkall, Ulrich. _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: _z9783662196175 |
776 | 0 | 8 |
_iPrinted edition: _z9783540430087 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1772 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b82935 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11039 _d11039 |