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  1. Bog
  2. Geometri
  3. Differential- og Riemannsk geometri

Constrained Willmore Surfaces

- Symmetries of a Mobius Invariant Integrable System
Af: Aurea Casinhas Quintino Engelsk Paperback

Constrained Willmore Surfaces

- Symmetries of a Mobius Invariant Integrable System
Af: Aurea Casinhas Quintino Engelsk Paperback
Tjek vores konkurrenters priser
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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Tjek vores konkurrenters priser
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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 258
ISBN-13: 9781108794428
Indbinding: Paperback
Udgave:
ISBN-10: 1108794424
Kategori: Differential- og Riemannsk geometri
Udg. Dato: 10 jun 2021
Længde: 18mm
Bredde: 227mm
Højde: 152mm
Forlag: Cambridge University Press
Oplagsdato: 10 jun 2021
Forfatter(e): Aurea Casinhas Quintino
Forfatter(e) Aurea Casinhas Quintino

Kategori Differential- og Riemannsk geometri

ISBN-13 9781108794428

Sprog Engelsk

Indbinding Paperback

Sider 258

Udgave

Længde 18mm

Bredde 227mm

Højde 152mm

Udg. Dato 10 jun 2021

Oplagsdato 10 jun 2021

Forlag Cambridge University Press

Kategori sammenhænge