Cayley surface
From Encyclopedia of Mathematics
An algebraic ruled surface which is a translation surface with an translation net. Its equation in Cartesian coordinates is
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=33504
Cayley surface. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cayley_surface&oldid=33504
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article