Quaternions, spinors, and surfaces:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2002
|
| Series: | Contemporary mathematics
299 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | IX, 138 S. Ill., graph. Darst. |
| ISBN: | 0821819283 |
Staff View
MARC
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| 245 | 1 | 0 | |a Quaternions, spinors, and surfaces |c George Kamberov ... |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2002 | |
| 300 | |a IX, 138 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Contemporary mathematics |v 299 | |
| 500 | |a Includes bibliographical references and index | ||
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| 650 | 4 | |a Quaternions | |
| 650 | 4 | |a Riemann, Surfaces de | |
| 650 | 4 | |a Quaternions | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction vii
Basic Conventions viii
Part 1. Conformal Immersions via Quaternions
Chapter 1. Quaternionic Calculus and Immersions 3
1.1. Functions and Forms 4
1.2. Conformal and anti conformal forms 6
1.3. Basic Geometric Formulae 13
1.4. Integrability: Codazzi s Equations 17
1.5. C1 minimal and Shape Class Immersions 23
1.6. Tensors and Tangential Valued Forms 29
1.7. Regular Homotopy and Spin Transforms 35
1.8. Extrinsic versus Intrinsic Geometry 48
Chapter 2. Applications 55
2.1. Isothermic Immersions 55
2.2. Christoffel s Problem 70
2.3. Bonnet s Problem 74
2.4. The Local Weierstrass Representation 80
Part 2. Surfaces and Dirac Spinors
Chapter 3. Spinor Algebra 85
3.1. Spinor Bundles: First Steps 85
3.2. Spinor Bundles: Structures 87
3.3. From Spinors to Complex Structures 93
3.4. Spinors, Immersions, Regular Homotopy 93
3.5. Densities, norms, and the Clifford product 95
3.6. Interpretation of Spinors 100
Chapter 4. Dirac Spinors and Conformal Immersions 103
4.1. The Conformal Dirac Operator 103
4.2. Connection with the Classical Theory 106
4.3. Conformal Immersions and Spinors 108
4.4. Prescribing the Gauss Map of a Minimal Surface 112
4.5. Bonnet Immersions 123
Bibliography 131
Glossary of Symbols 135
Index 137
V
|
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| dewey-sort | 3512 15 |
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| id | DE-604.BV014547472 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:03:22Z |
| institution | BVB |
| isbn | 0821819283 |
| language | English |
| lccn | 2002026151 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009891921 |
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| physical | IX, 138 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Contemporary mathematics |
| series2 | Contemporary mathematics |
| spelling | Quaternions, spinors, and surfaces George Kamberov ... Providence, RI American Math. Soc. 2002 IX, 138 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Contemporary mathematics 299 Includes bibliographical references and index Analyse spinorielle Quaternions Riemann, Surfaces de Riemann surfaces Spinor analysis Quaternion (DE-588)4176653-2 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Spinor (DE-588)4182327-8 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 s Quaternion (DE-588)4176653-2 s DE-604 Spinor (DE-588)4182327-8 s Kamberov, George Sonstige oth Contemporary mathematics 299 (DE-604)BV000003365 299 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009891921&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Quaternions, spinors, and surfaces Contemporary mathematics Analyse spinorielle Quaternions Riemann, Surfaces de Riemann surfaces Spinor analysis Quaternion (DE-588)4176653-2 gnd Riemannsche Fläche (DE-588)4049991-1 gnd Spinor (DE-588)4182327-8 gnd |
| subject_GND | (DE-588)4176653-2 (DE-588)4049991-1 (DE-588)4182327-8 |
| title | Quaternions, spinors, and surfaces |
| title_auth | Quaternions, spinors, and surfaces |
| title_exact_search | Quaternions, spinors, and surfaces |
| title_full | Quaternions, spinors, and surfaces George Kamberov ... |
| title_fullStr | Quaternions, spinors, and surfaces George Kamberov ... |
| title_full_unstemmed | Quaternions, spinors, and surfaces George Kamberov ... |
| title_short | Quaternions, spinors, and surfaces |
| title_sort | quaternions spinors and surfaces |
| topic | Analyse spinorielle Quaternions Riemann, Surfaces de Riemann surfaces Spinor analysis Quaternion (DE-588)4176653-2 gnd Riemannsche Fläche (DE-588)4049991-1 gnd Spinor (DE-588)4182327-8 gnd |
| topic_facet | Analyse spinorielle Quaternions Riemann, Surfaces de Riemann surfaces Spinor analysis Quaternion Riemannsche Fläche Spinor |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009891921&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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