03069nam 2200601 450 991078865790332120180327162948.00-8218-7889-10-8218-1928-3(CKB)3240000000069825(EBL)3112879(SSID)ssj0000629415(PQKBManifestationID)11374986(PQKBTitleCode)TC0000629415(PQKBWorkID)10735698(PQKB)10921927(MiAaPQ)EBC3112879(RPAM)12830271(PPN)197106277(EXLCZ)99324000000006982520020624h20022002 uy| 0engur|n|---|||||txtccrQuaternions, spinors, and surfaces /George Kamberov [and three others]Providence, Rhode Island :American Mathematical Society,[2002]©20021 online resource (154 p.)Contemporary mathematics,0271-4132 ;299Description based upon print version of record.Includes bibliographical references (pages 131-133) and index.""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""""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""""4.4. Prescribing the Gauss Map of a Minimal Surface""""4.5. Bonnet Immersions""; ""Bibliography""; ""Glossary of Symbols""; ""Index""Contemporary mathematics (American Mathematical Society) ;299.QuaternionsSpinor analysisRiemann surfacesQuaternions.Spinor analysis.Riemann surfaces.512/.531.30bclKamberov George1957-MiAaPQMiAaPQMiAaPQBOOK9910788657903321Quaternions, spinors, and surfaces3851452UNINA