Constrained Willmore Surfaces : Symmetries of a Mobius Invariant Integrable System Paperback / softback
by Aurea Casinhas (Universidade Nova de Lisboa, Portugal) Quintino
Part of the London Mathematical Society Lecture Note Series series
Paperback / softback
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Description
From Bäcklund to Darboux, this monograph presents a comprehensive journey through the transformation theory of constrained Willmore surfaces, a topic of great importance in modern differential geometry and, in particular, in the field of integrable systems in Riemannian geometry.
The first book on this topic, it discusses in detail a spectral deformation, Bäcklund transformations and Darboux transformations, and proves that all these transformations preserve the existence of a conserved quantity, defining, in particular, transformations within the class of constant mean curvature surfaces in 3-dimensional space-forms, with, furthermore, preservation of both the space-form and the mean curvature, and bridging the gap between different approaches to the subject, classical and modern.
Clearly written with extensive references, chapter introductions and self-contained accounts of the core topics, it is suitable for newcomers to the theory of constrained Wilmore surfaces.
Many detailed computations and new results unavailable elsewhere in the literature make it also an appealing reference for experts.
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In Stock - low on stock, only 1 copy remainingFree UK DeliveryEstimated delivery 2-3 working days
- Format:Paperback / softback
- Pages:258 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:10/06/2021
- Category:
- ISBN:9781108794428
Information
-
In Stock - low on stock, only 1 copy remainingFree UK DeliveryEstimated delivery 2-3 working days
- Format:Paperback / softback
- Pages:258 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:10/06/2021
- Category:
- ISBN:9781108794428