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Constrained Willmore surfaces : = symmetries of a Möbius invariant integrable system /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Constrained Willmore surfaces :/ Áurea Casinhas Quintino.
Reminder of title:	symmetries of a Möbius invariant integrable system /
Author:	Quintino, Áurea Casinhas,
Description:	1 online resource (xiii, 246 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 17 May 2021).
Subject:	Transformations (Mathematics) -
Online resource:	https://doi.org/10.1017/9781108885478
ISBN:	9781108885478 (ebook)

Constrained Willmore surfaces : = symmetries of a Möbius invariant integrable system /
Quintino, Áurea Casinhas,1974-

Constrained Willmore surfaces :symmetries of a Möbius invariant integrable system /Áurea Casinhas Quintino. - 1 online resource (xiii, 246 pages) :digital, PDF file(s). - London Mathematical Society lecture note series ;465. - London Mathematical Society lecture note series ;382..

Title from publisher's bibliographic system (viewed on 17 May 2021).

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.

ISBN: 9781108885478 (ebook)Subjects--Topical Terms:

527919
Transformations (Mathematics)

LC Class. No.: QA601 / .Q56 2021

Dewey Class. No.: 516/.1

Constrained Willmore surfaces : = symmetries of a Möbius invariant integrable system /
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490 1 $a London Mathematical Society lecture note series ; $v 465
500 $a Title from publisher's bibliographic system (viewed on 17 May 2021).
520 $a 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.
650 0 $a Transformations (Mathematics) $3 527919
650 0 $a Möbius transformations. $3 943632
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830 0 $a London Mathematical Society lecture note series ; $v 382. $3 773477
856 4 0 $u https://doi.org/10.1017/9781108885478