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001 ocm49045360;

003 OCoLC;

005 20260420152354.0;

008 020213t20022002gw b 001 0 eng ;

010 a| 2003537835;

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015 a| 02,N01,07002| dnb;

016 7 a| 9631818312| DE-101;

016 7 a| 0065988792| Uk;

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020 a| 3540430083q| (acid-free paper);

020 a| 9783540430087q| (acid-free paper);

024 3 a| 9783540430087;

029 1 a| AU@b| 000023377670;

029 1 a| AU@b| 000023704979;

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035 a| (Sirsi) o49045360;

042 a| lccopycat;

049 a| EREE;

050 00 a| QA3b| .L28 no. 1772;

050 4 a| QA360b| .C665 2002;

055 3 a| QA75b| .L38 no.1772;

072 7 a| QA2| lcco;

080 a| 513.6;

082 00 a| 510 sa| 516.3/62| 221| https://id.oclc.org/worldcat/ddc/E3mHkTk9QQM6jM7JR4v9G9XgP7;

084 a| SI 8502| rvk;

084 a| SK 3702| rvk;

084 a| MAT 530f2| stub;

100 1 a| Burstall, Francis E.,d| 1956-e| author.1| https://id.oclc.org/worldcat/entity/E39PCjJfVRMTwTYDGTDkVjrYvb=| ^A254499;

245 10 a| Conformal geometry of surfaces in S⁴ and quaternions /c| F.E. Burstall [and others].;

264 1 a| Berlin ;a| New York :b| Springer,c| [2002];

300 a| viii, 86 pages, 1 unnumbered pages ;c| 24 cm.;

336 a| textb| txt2| rdacontent;

337 a| unmediatedb| n2| rdamedia;

338 a| volumeb| nc2| rdacarrier;

490 1 a| Lecture notes in mathematics,x| 0075-8434 ;v| 1772;

504 a| Includes bibliographical references (page 87) and index.;

505 0 a| Quaternions -- Linear algebra over the quaternions -- Projective spaces -- Vector bundles -- The mean curvature sphere -- Willmore Surfaces -- Metric and affine conformal geometry -- Twistor projections -- Bcklund 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 a| The 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 Bcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.;

650 0 a| Conformal mapping.=| ^A57278;

650 0 a| Quaternions.=| ^A164513;

650 7 a| Conformal mapping.2| fast0| (OCoLC)fst00875031;

650 7 a| Quaternions.2| fast0| (OCoLC)fst01085499;

650 7 a| Konforme Differentialgeometrie.2| gnd0| (DE-588)4206468-5;

650 7 a| Quaternion.2| gnd0| (DE-588)4176653-2;

650 7 a| Geometry, Differential.2| nli;

650 7 a| Conformal mapping.2| nli;

650 7 a| Quaternions.2| nli;

830 0 a| Lecture notes in mathematics (Springer-Verlag) ;v| 1772.=| ^A496146;

856 42 3| Publisher descriptionu| http://catdir.loc.gov/catdir/enhancements/fy0817/2003537835-d.html;

856 41 3| Table of contents onlyu| http://catdir.loc.gov/catdir/enhancements/fy0817/2003537835-t.html;

938 a| Ingram Library Servicesb| INGRn| in011151952;

938 a| Baker & Taylorb| BKTYc| 44.95d| 44.95i| 3540430083n| 0003915360s| active;

938 a| Baker and Taylorb| BTCPn| 2003537835;

938 a| Otto Harrassowitzb| HARRn| har020001663;

938 a| YBP Library Servicesb| YANKn| 1841938;

994 a| C0b| ERE;

590 a| Joyner-FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, LECTURE NOTES IN MATHEMATICS (SPRINGER-VERLAG), SEARCH BY CALL NUMBER QA3.L28.;

596 a| 1;

998 a| 884679;

999 a| QA3 .L28 NO. 1772w| LCc| 1i| 30372011543250d| 1/30/2013e| 10/18/2002f| 1/30/2013g| 1l| JGESm| JOYNERn| 1r| Ys| Yt| JGESBKu| 8/21/2002x| BOOKz| JSTACKSo| .STAFF. 0;

Conformal geometry of surfaces in S⁴ and quaternions / F.E. Burstall [and others].

Author/creator	Burstall, Francis E., 1956- author.
Format	Book
Publication	Berlin ; New York : Springer, [2002]
Copyright Date	©2002
Description	viii, 86 pages, 1 unnumbered pages ; 24 cm.
Supplemental Content	Publisher description
Supplemental Content	Table of contents only
Subjects	Conformal mapping. Quaternions.

Series	Lecture notes in mathematics, 0075-8434 ; 1772 Lecture notes in mathematics (Springer-Verlag) ; 1772. ^A496146
Contents	Quaternions -- Linear algebra over the quaternions -- Projective spaces -- Vector bundles -- The mean curvature sphere -- Willmore Surfaces -- Metric and affine conformal geometry -- Twistor projections -- Bcklund transforms of Willmore surfaces -- Willmore surfaces in S3 -- Spherical Willmore surfaces in HP1 -- Darboux transforms -- Appendix: The bundle L. Holomorphicity and the Ejiri theorem.
Abstract	The 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 Bcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.
Local note	Joyner-FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, LECTURE NOTES IN MATHEMATICS (SPRINGER-VERLAG), SEARCH BY CALL NUMBER QA3.L28.
Bibliography note	Includes bibliographical references (page 87) and index.
LCCN	2003537835
ISBN	3540430083 (acid-free paper)
ISBN	9783540430087 (acid-free paper)
Standard identifier#	9783540430087

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Joyner	General Stacks	QA3 .L28 NO. 1772	✔ Available	Place Hold

Conformal geometry of surfaces in S⁴ and quaternions / F.E. Burstall [and others].

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