Klein's quadric
The Klein quadric is in projective geometry a conical quadric in 5-dimensional projective space , which is defined in homogeneous coordinates by the equation
is described.
It parameterizes straight lines in three-dimensional projective space, see Plücker coordinates .
literature
- Felix Klein : About the transformation of the general equation of the second degree between line coordinates to a canonical form . Dissertation (1868) published in Math. Ann 23 (1884), 539-578.