Hesse's principle of transfer
# Hesse's principle of transfer

In geometry, Hesse's principle of transfer (German: Übertragungsprinzip) states that if the points of the projective line $P^1$ are depicted by a rational normal curve in $P^n,$ then the group of the projective transformations of $P^n$ that preserve the curve is isomorphic to the group of the projective transformations of $P^1$ (this is a generalization of the original Hesse's principle, in a form suggested by Wilhelm Franz Meyer). It was originally introduced by Otto Hesse in 1866, in a more restricted form. It influenced Felix Klein in the development of the Erlangen program. Since its original conception, it was generalized by many mathematicians, including Klein, Fano, and Cartan.

