"In mathematics, a Killing vector field (often just Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian manifold) that preserves the metric. Killing fields are the infinitesimal generators of isometries; that is, flows generated by Killing fields are continuous isometries of the manifold. More simply, the flow generates a symmetry, in the sense that moving each point on an object the same distance in the direction of the Killing vector field will not distort distances on the object."

deinonychus commented on the word Killing field

I am so happy that Wilhelm Killing got to name so many things! Killing horizon and Killing form are other good ones. (If anyone finds more good eponyms, I've got a list for those...).

March 17, 2013

ruzuzu commented on the word Killing field

"In mathematics, a Killing vector field (often just Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian manifold) that preserves the metric. Killing fields are the infinitesimal generators of isometries; that is, flows generated by Killing fields are continuous isometries of the manifold. More simply, the flow generates a symmetry, in the sense that moving each point on an object the same distance in the direction of the Killing vector field will not distort distances on the object."

-- http://en.wikipedia.org/w/index.php?title=Killing_vector_field&oldid=542305952

March 15, 2013