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Conformal geometry of surfaces in S4 and quaternions

Overview of attention for book
Cover of 'Conformal geometry of surfaces in S4 and quaternions'

Table of Contents

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    Book Overview
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    Chapter 1 1. Quaternions
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    Chapter 2 2. Linear Algebra over the Quaternions
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    Chapter 3 3. Projective Spaces
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    Chapter 4 4. Vector Bundles
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    Chapter 5 5. The Mean Curvature Sphere
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    Chapter 6 6. Willmore Surfaces
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    Chapter 7 7. Metric and Affine Conformal Geometry
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    Chapter 8 8. Twistor Projections
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    Chapter 9 9. Bäcklund Transforms of Willmore Surfaces
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    Chapter 10 10. Willmore Surfaces in S 3
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    Chapter 11 11. Spherical Willmore Surfaces in ${\mathbb{H}}P^1$
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    Chapter 12 12. Darboux transforms
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    Chapter 13 13. Appendix
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    Chapter 14 References
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    Chapter 15 Index
Attention for Chapter 1: 1. Quaternions
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