Concerto
发表于 2025-3-27 00:12:36
Affine Connections and GeodesicsIn a general Riemann space the concepts of straight lines and parallel vectors must be generalized from those familiar in Euclidian geometry. The fundamental objects needed for the generalization are affine connections. With affine connections we are naturally led to a deeper view of spacetime and the behavior of objects in it.
Ruptured-Disk
发表于 2025-3-27 02:56:23
Tensor AnalysisThe ideas of classical vector analysis in Euclidian space generalize naturally to Riemann space. Affine connections are the key to this generalization. Moreover much of classical vector analysis becomes more clear and simple; the divergence and Laplacian are prime examples.
BOOM
发表于 2025-3-27 08:38:57
Classical Gravity and GeometryIn this chapter we look at the familiar classical gravitational force from a novel perspective, as a geometric effect. This perspective is motivated by the equivalence principle, the close similarity of gravitational effects to the effects of acceleration. As an application of the geometric view the gravitational redshift can be easily derived.
FLINT
发表于 2025-3-27 11:52:19
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COST
发表于 2025-3-27 16:14:24
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搬运工
发表于 2025-3-27 18:01:41
Entire and Meromorphic Functions,avity were first developed by nineteenth century mathematicians such as Gauss and Riemann. The most important mathematical objects in such spaces are vectors and tensors.We will treat these using both the classic index notation and a more modern abstract notation.
avarice
发表于 2025-3-28 01:20:30
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决定性
发表于 2025-3-28 04:17:43
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惊奇
发表于 2025-3-28 09:18:30
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anthropologist
发表于 2025-3-28 12:11:42
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