Last Updated：2025/11/21

(mathematics) Any Riemann space in which the metric tensors are constants throughout

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flat space

Source Word

flat space

Noun

(mathematics) Any Riemann space in which the metric tensors are constants throughout

Japanese Meaning

平坦空間 - 計量テンソルが空間全体で一定で、局所的な曲率がゼロとなるリーマン空間

The curvature vanishes everywhere in a flat space, which makes many geometric computations much simpler.

曲率は平坦リーマン多様体の中で至る所で消え、多くの幾何計算がはるかに簡単になる。

Sense（1）

(mathematics) Any Riemann space in which the metric tensors are constants throughout

flat spaces

（ plural ）