Willmore Energy and Willmore Conjecture

Herausgeber: Toda, Magdalena D.

• Gebundenes Buch

Produktbeschreibung

This book is the first monograph dedicated wholly to Willmore energy and surfaces as contemporary topics in differential geometry. It also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry.

Produktdetails

• Verlag: Chapman and Hall/CRC
• Seitenzahl: 158
• Erscheinungstermin: 13. Oktober 2017
• Englisch
• Abmessung: 240mm x 161mm x 13mm
• Gewicht: 408g
• ISBN-13: 9781498744638
• ISBN-10: 149874463X
• Artikelnr.: 50052837

Autorenporträt

Magdalena Toda holds a PhD in Mathematics from University of Kansas and a PhD in Applied Mathematics from University Politehnica Bucharest. She is currently a Professor of Mathematics at Texas Tech University, where she has served as interim chairperson between 2015-2016, and as department chairperson since 2016. She has published over 30 articles in academic journals on topics including surface theory and geometric solutions of non-linear partial differential equations. Over the past decade she has mainly studied fluid flows from a geometric viewpoint. Willmore-type energies represent one of her most recent interests.

Inhaltsangabe

Willmore Energy: Brief Introduction and Survey. Transformations of
Generalized Harmonic bundles and Constrained Willmore Surfaces. Analytical
Representations of Willmore and Generalized Willmore Surfaces. Construction
of Willmore Two-Spheres Via Harmonic Maps Into SO+(1;n + 3)=(SO+(1; 1) SO(n
+ 2)). Towards a Constrained Willmore Conjecture