Namespaces
Variants
Actions

Cayley surface

From Encyclopedia of Mathematics
Jump to: navigation, search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

An algebraic ruled surface which is a translation surface with an $\infty^1$ translation net. Its equation in Cartesian coordinates is

$$x^3-6xy+6z=0.$$

The surface is named after A. Cayley [1], who considered it as a geometrical illustration of his investigations in the theory of pencils of binary quadratic forms.

References

[1] A. Cayley, "A fourth memoir on quantics" , Collected mathematical papers , 2 , Cambridge Univ. Press (1889) pp. 513–526 (Philos. Trans. Royal Soc. London 148 (1858), 415–427)
[2] V.I. Shulikovskii, "Classical differential geometry in a tensor setting" , Moscow (1963) (In Russian)
How to Cite This Entry:
Cayley surface. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cayley_surface&oldid=33552
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article