Willmore energy and Willmore conjecture
著者
書誌事項
Willmore energy and Willmore conjecture
（Monographs and research notes in mathematics）
CRC Press, c2018
- : hardback
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注記
"A Chapman & Hall book"
Includes bibliographical references and index
内容説明・目次
内容説明
This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry.
Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces?
As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area.
目次
- 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
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