Last Updated
：2025/12/03
metric tensor
Noun
Japanese Meaning
微分幾何学において、計量テンソルとは、多様体上の距離の微分を表現するための形式であり、対称な二重線型形式であって、非退化（すなわち、すべての固有値がゼロでない）である。
（ plural ）
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(differential geometry) a symmetric bilinear form which is non-degenerate (i.e., having all non-zero eigenvalues); a differential of distance on a manifold
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metric tensor
The metric tensor determines distances and angles on a manifold by providing a symmetric, non-degenerate inner product on each tangent space.
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The metric tensor determines distances and angles on a manifold by providing a symmetric, non-degenerate inner product on each tangent space.
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