Quaternions, spinors, and surfaces / / George Kamberov [and three others]
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| Titolo: |
Quaternions, spinors, and surfaces / / George Kamberov [and three others]
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| ©2002 | |
| Descrizione fisica: | 1 online resource (154 p.) |
| Disciplina: | 512/.5 |
| Soggetto topico: | Quaternions |
| Spinor analysis | |
| Riemann surfaces | |
| Classificazione: | 31.30 |
| Persona (resp. second.): | KamberovGeorge <1957-> |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references (pages 131-133) and index. |
| Nota di contenuto: | ""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"" | |
| Titolo autorizzato: | Quaternions, spinors, and surfaces |
| ISBN: | 0-8218-7889-1 |
| 0-8218-1928-3 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788657903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Contemporary mathematics (American Mathematical Society) ; ; 299.