LEADER 03069nam 2200601 450 001 9910788657903321 005 20180327162948.0 010 $a0-8218-7889-1 010 $a0-8218-1928-3 035 $a(CKB)3240000000069825 035 $a(EBL)3112879 035 $a(SSID)ssj0000629415 035 $a(PQKBManifestationID)11374986 035 $a(PQKBTitleCode)TC0000629415 035 $a(PQKBWorkID)10735698 035 $a(PQKB)10921927 035 $a(MiAaPQ)EBC3112879 035 $a(RPAM)12830271 035 $a(PPN)197106277 035 $a(EXLCZ)993240000000069825 100 $a20020624h20022002 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aQuaternions, spinors, and surfaces /$fGeorge Kamberov [and three others] 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2002] 210 4$dİ2002 215 $a1 online resource (154 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v299 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references (pages 131-133) and index. 327 $a""Contents""; ""Introduction""; ""Basic Conventions""; ""Part 1. Conformal Immersions via Quaternions""; ""Chapter 1. Quaternionic Calculus and Immersions""; ""1.1. Functions and Forms""; ""1.2. Conformal and anti-conformal forms""; ""1.3. Basic Geometric Formulae""; ""1.4. Integrability: Codazzi's Equations""; ""1.5. C1-minimal and Shape Class Immersions""; ""1.6. Tensors and Tangential-Valued Forms""; ""1.7. Regular Homotopy and Spin Transforms""; ""1.8. Extrinsic versus Intrinsic Geometry""; ""Chapter 2. Applications""; ""2.1. Isothermic Immersions""; ""2.2. Christoffel's Problem"" 327 $a""2.3. Bonnet's Problem""""2.4. The Local Weierstrass Representation""; ""Part 2. Surfaces and Dirac Spinors""; ""Chapter 3. Spinor Algebra""; ""3.1. Spinor Bundles: First Steps""; ""3.2. Spinor Bundles: Structures""; ""3.3. From Spinors to Complex Structures""; ""3.4. Spinors, Immersions, Regular Homotopy""; ""3.5. Densities, norms, and the Clifford product""; ""3.6. Interpretation of Spinors""; ""Chapter 4. Dirac Spinors and Conformal Immersions""; ""4.1. The Conformal Dirac Operator""; ""4.2. Connection with the Classical Theory""; ""4.3. Conformal Immersions and Spinors"" 327 $a""4.4. Prescribing the Gauss Map of a Minimal Surface""""4.5. Bonnet Immersions""; ""Bibliography""; ""Glossary of Symbols""; ""Index"" 410 0$aContemporary mathematics (American Mathematical Society) ;$v299. 606 $aQuaternions 606 $aSpinor analysis 606 $aRiemann surfaces 615 0$aQuaternions. 615 0$aSpinor analysis. 615 0$aRiemann surfaces. 676 $a512/.5 686 $a31.30$2bcl 702 $aKamberov$b George$f1957- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788657903321 996 $aQuaternions, spinors, and surfaces$93851452 997 $aUNINA