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Constrained Willmore Surfaces London Mathematical Society Lecture Note Series Series Number 465 1st Edition Quintino

SKU: BELL-38182520

$ 31.00 ~~$ 45.00~~ (-31%)

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Constrained Willmore Surfaces London Mathematical Society Lecture Note Series Series Number 465 1st Edition Quintino instant download after payment.

Publisher: Cambridge University Press

File Extension: PDF

File size: 2.44 MB

Pages: 258

Author: Quintino, Áurea Casinhas

ISBN: 9781108794428, 1108794424

Language: English

Year: 2021

Edition: 1

Product desciption

Constrained Willmore Surfaces London Mathematical Society Lecture Note Series Series Number 465 1st Edition Quintino by Quintino, Áurea Casinhas 9781108794428, 1108794424 instant download after payment.

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.