English Dictionary

Klein quadric

名詞

(mathematics) The lines of a 3-dimensional projective space, S, can be viewed as points of a 5-dimensional projective space, T. In that 5-space, the points that represent each line in S lie on a hyperbolic quadric, Q, known as the Klein quadric.

日本語の意味

数学分野の用語として、3次元射影空間の各直線を5次元射影空間上の一点と見なし、その各点が集合する双曲型二次曲面（Klein quadric）を指す。

When studying the correspondence between lines in projective three-space and points in projective five-space, one often examines the Klein quadric to understand their incidence relations.

射影三次元空間の直線と五次元射影空間の点との対応を研究する際、これらの包含関係を理解するために、直線を表すその五次元空間内の双曲二次曲面をよく調べる。

意味（1）

(mathematics) The lines of a 3-dimensional projective space, S, can be viewed as points of a 5-dimensional projective space, T. In that 5-space, the points that represent each line in S lie on a hyperbolic quadric, Q, known as the Klein quadric.

Klein quadrics （ plural ）