Surfaces in Classical Geometries: A Treatment by Moving Frames
Surfaces in Classical Geometries: A Treatment by Moving Frames
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经典几何中的曲面:移动框架的处理
DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
L. Nicolodi
中科院分区:
文献类型:
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作者:
G. Jensen;Emilio Musso;L. Nicolodi
1. Introduction.- 2. Lie Groups.- 3. Theory of Moving Frames.- 4. Euclidean Geometry.- 5. Spherical Geometry.- 6. Hyperbolic Geometry.- 7. Complex Structure.- 8. Minimal Immersions in Euclidean Space.- 9. Isothermic Immersions.- 10. The Bonnet Problem.- 11. CMC 1 Surfaces in H3.- 12. Mobius Geometry.- 13. Complex Structure and Mobius Geometry.- 14. Isothermic Immersions in Mobius Space.- 15. Lie Sphere Geometry.- Solutions to Select Problems.- References.- Index.