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Metric Tensor

Creator
Creator
Seonglae Cho
Created
Created
2023 Oct 27 3:59
Editor
Editor
Seonglae Cho
Edited
Edited
2024 Mar 30 15:42
Refs
Refs
Tensor
공간의 휜 정도에 따라 거리를 조절
3차원 뿐만 아니라 4차원이나 그 이상의 차원에서도 수학적 서술을 가능하게 한다.
 
 
 
 
 
Metric tensor
In the mathematical field of differential geometry, a metric tensor (or simply metric) is an additional structure on a manifold M (such as a surface) that allows defining distances and angles, just as the inner product on a Euclidean space allows defining distances and angles there. More precisely, a metric tensor at a point p of M is a bilinear form defined on the tangent space at p (that is, a bilinear function that maps pairs of tangent vectors to real numbers), and a metric tensor on M consists of a metric tensor at each point p of M that varies smoothly with p.
Metric tensor
https://en.wikipedia.org/wiki/Metric_tensor
 

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Metric Tensor
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