# Contents

## Idea

A projective variety that is moreover a quadric given by zeroes of the quadratic form

$x_0x_5 + x_1 x_4 + x_2 x_3$

where $[x_0:x_1:x_2:x_3:x_4:x_5]$ are homogeneous coordinates on $\mathbb{P}^5$. It was studied in (Klein 1868), together with what is now called the Klein correspondence?, by Felix Klein in his 1868 dissertation under Julius Plücker?.

## Properties

The conformal compactification, of complexified Minkowski spacetime $\mathbb{R}^{3,1}$, is given by the Klein quadric. (eg, Fioresi-Lledo-Varadarajan 07, section 2).

## References

Last revised on July 29, 2016 at 03:55:14. See the history of this page for a list of all contributions to it.