LUT
发表于 2025-3-27 00:54:05
https://doi.org/10.1007/978-3-662-21563-0Geometrie; Geometry; Globale Differentialgeometrie; curvature; differential geometry; Gaussian curvature;
长矛
发表于 2025-3-27 02:24:03
Springer-Verlag Berlin Heidelberg 1983
MINT
发表于 2025-3-27 07:01:29
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FOR
发表于 2025-3-27 11:23:52
Hadamard’s Characterization of the Ovaloidsonvex set with a non-empty interior. It is easy to show that a convex body is homeomorphic to a solid sphere (but we will not need this fact). In these notes we will assume in addition that the boundary surface of a convex body in E. is several times differentiable.
数量
发表于 2025-3-27 14:20:39
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油毡
发表于 2025-3-27 18:24:08
Singularities of Surfaces with Constant Negative Gauss CurvatureII, 1.1 except that condition 1) that S be compact is no longer true. We will show that a surface with constant negative Gauss curvature cannot be imbedded as a general (open) surface in E. without singularities (in a sense to be defined below). The first proof of this was given by Hilbert (~ 1900)
最后一个
发表于 2025-3-28 01:02:54
0075-8434 Geometry in the Large, Stanford University 1956, Notes by J. W. Gray. They are reproduced here with no essential change. Heinz Hopf was a mathematician who recognized important mathema tical ideas and new mathematical phenomena through special cases. In the simplest background the central idea or t
Overthrow
发表于 2025-3-28 05:26:38
Rationale Management in Software Engineeringntersection of the directed half-ray from the origin parallel to the directed tangent to X(t) at X(t.) with the unit sphere about the origin. It follows from the differentiability properties of the curve X(t) that its spherical image will possess continuous first derivatives.
Urea508
发表于 2025-3-28 08:43:57
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权宜之计
发表于 2025-3-28 12:36:03
Selected Topics in Elementary Differential Geometryntersection of the directed half-ray from the origin parallel to the directed tangent to X(t) at X(t.) with the unit sphere about the origin. It follows from the differentiability properties of the curve X(t) that its spherical image will possess continuous first derivatives.