Introduction to Möbius differential geometry

Introduction to Möbius differential geometry
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DOI:
10.1017/cbo9780511546693.011
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发表时间:
2003-08
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通讯作者:
U. Hertrich-Jeromin
U. Hertrich-Jeromin
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其他
文献类型:
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作者:
U. Hertrich-Jeromin

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导言0.第一章:黎曼的观点1投影模型2.应用:共形平坦超曲面3.应用:等温和Willmore表面4. 5.一个四元模型应用:光滑和离散等温表面6.克利福德代数模型7。一个Clifford代数模型Vahlen矩阵8.应用:正交系统,等温表面
Introduction 0. Preliminaries: the Riemannian point of view 1. The projective model 2. Application: conformally flat hypersurfaces 3. Application: isothermic and Willmore surfaces 4. A quaternionic model 5. Application: smooth and discrete isothermic surfaces 6. A Clifford algebra model 7. A Clifford algebra model Vahlen matrices 8. Applications: orthogonal systems, isothermic surfaces Conclusion.