Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 A Bundle Approach to Conformal Surfaces in Space-Forms
- 2 The Mean Curvature Sphere Congruence
- 3 Surfaces under Change of Flat Metric Connection
- 4 Willmore Surfaces
- 5 The Euler–Lagrange ConstrainedWillmore Surface Equation
- 6 Transformations of Generalized Harmonic Bundles and Constrained Willmore Surfaces
- 7 Constrained Willmore Surfaces with a Conserved Quantity
- 8 Constrained Willmore Surfaces and the Isothermic Surface Condition
- 9 The Special Case of Surfaces in 4-Space
- Appendix A Hopf Differential and Umbilics
- Appendix B Twisted vs. Untwisted Bäcklund Transformation Parameters
- References
- Index
Frontmatter
Published online by Cambridge University Press: 13 May 2021
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 A Bundle Approach to Conformal Surfaces in Space-Forms
- 2 The Mean Curvature Sphere Congruence
- 3 Surfaces under Change of Flat Metric Connection
- 4 Willmore Surfaces
- 5 The Euler–Lagrange ConstrainedWillmore Surface Equation
- 6 Transformations of Generalized Harmonic Bundles and Constrained Willmore Surfaces
- 7 Constrained Willmore Surfaces with a Conserved Quantity
- 8 Constrained Willmore Surfaces and the Isothermic Surface Condition
- 9 The Special Case of Surfaces in 4-Space
- Appendix A Hopf Differential and Umbilics
- Appendix B Twisted vs. Untwisted Bäcklund Transformation Parameters
- References
- Index
Summary
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- Type
- Chapter
- Information
- Constrained Willmore SurfacesSymmetries of a Möbius Invariant Integrable System, pp. i - ivPublisher: Cambridge University PressPrint publication year: 2021