Aurea Casinhas Quintino (Portugal Universidade Nova de Lisboa)

Constrained Willmore Surfaces

Symmetries of a Mobius Invariant Integrable System

• Broschiertes Buch

Produktbeschreibung

This monograph presents the transformation theory of Willmore surfaces (possibly with a constraint), including applications to surfaces of constant mean curvature. Self-contained accounts of the core topics make it suitable for newcomers to the field, while many detailed computations and new results make it an appealing reference for experts.

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Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 258
• Erscheinungstermin: 10. Juni 2021
• Englisch
• Abmessung: 152mm x 227mm x 18mm
• Gewicht: 406g
• ISBN-13: 9781108794428
• ISBN-10: 1108794424
• Artikelnr.: 60159429

Autorenporträt

Áurea Casinhas Quintino is an Assistant Professor at NOVA University Lisbon and a member of CMAFcIO - Center for Mathematics, Fundamental Applications and Operations Research, Faculty of Sciences of the University of Lisbon. Her research interests focus on integrable systems in Riemannian geometry.

Inhaltsangabe

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 constrained Willmore 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.