Last Updated：2025/11/21

(mathematics) A Riemann space in which the contracted curvature tensor is proportional to the metric tensor

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Einstein space

Source Word

Einstein space

Noun

(mathematics) A Riemann space in which the contracted curvature tensor is proportional to the metric tensor

Japanese Meaning

計量テンソルに比例する縮約曲率テンソルを持つ、リーマン空間の一種。

In differential geometry, an Einstein space appears as a natural generalization of constant-curvature manifolds.

微分幾何学では、収縮曲率テンソルが計量テンソルに比例するリーマン空間が、定曲率多様体の自然な一般化として現れる。

Sense（1）

(mathematics) A Riemann space in which the contracted curvature tensor is proportional to the metric tensor

Einstein spaces

（ plural ）