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Quaternions, spinors, and surfaces / / George Kamberov [and three others]



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Titolo: Quaternions, spinors, and surfaces / / George Kamberov [and three others] Visualizza cluster
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
Soggetto genere / forma: Electronic books.
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  Visualizza cluster
ISBN: 0-8218-7889-1
0-8218-1928-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480941703321
Lo trovi qui: Univ. Federico II
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Serie: Contemporary mathematics (American Mathematical Society) ; ; 299.