自由才谨慎
发表于 2025-3-21 18:21:57
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CON
发表于 2025-3-21 23:28:51
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恩惠
发表于 2025-3-22 02:23:28
Euclidean Geometry,tandard dot product. Section . will be review for readers who have studied basic differential geometry of curves and surfaces in Euclidean space. Geometric intuition is used to construct Euclidean frames on a surface. Section . repeats the exposition, but this time following the frame reduction proc
树胶
发表于 2025-3-22 08:22:36
Spherical Geometry, isometries the orthogonal group, .(4). Stereographic projection from the sphere to Euclidean space appears in this chapter. It is our means to visualize geometric objects in ... The existence of compact minimal immersions in .., such as the Clifford torus, provide important examples of Willmore imm
生气的边缘
发表于 2025-3-22 10:04:27
Hyperbolic Geometry,full group of isometries ..(3, 1). Moving frames lead to natural expressions of the sphere at infinity and the hyperbolic Gauss map. The Poincaré ball model is introduced as a means to visualize surfaces immersed in hyperbolic space. As in the chapters on Euclidean and spherical geometry, the notion
craving
发表于 2025-3-22 15:29:41
Complex Structure,an metric. In this way a complex structure is induced on any surface immersed into one of the space forms. Surfaces immersed into Möbius space inherit a complex structure. In all cases we use this structure to define a reduction of a moving frame to a unique frame associated to a given complex coord
组成
发表于 2025-3-22 19:26:23
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讨人喜欢
发表于 2025-3-22 23:48:21
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慎重
发表于 2025-3-23 03:38:37
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NOT
发表于 2025-3-23 07:42:17
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