Klein quadric

noun

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.

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Meanings

nounKlein quadric (plural Klein quadrics)

plural Klein quadrics

  1. mathematicsThe 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.

Origin

After German mathematician Felix Klein.

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Cite this entry
APA

Klein quadric. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Klein%20quadric

MLA

“Klein quadric.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Klein%20quadric. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Klein quadric,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Klein%20quadric.

Source: Klein quadric on Wiktionary, CC BY-SA 4.0.