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单词 Riemannian Metric
释义

Riemannian Metric

Suppose for every point in a Compact Manifold , an Inner Product is defined on a Tangent Space of at . Then the collection of all these Inner Productsis called the Riemannian metric. In 1870, Christoffel and Lipschitz showed how to decide when two Riemannian metricsdiffer by only a coordinate transformation.

See also Compact Manifold, Line Element, Metric Tensor
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更新时间:2025/2/22 21:52:31