A homothetic vector field (sometimes homothetic collineation or homothety) is a projective vector field which satisfies the condition:
where c is a real constant. Homothetic vector fields find application in the study of singularities in general relativity.
Famous quotes containing the word field:
“The head must bow, and the back will have to bend,
Wherever the darkey may go;
A few more days, and the trouble all will end,
In the field where the sugar-canes grow.
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No matter, ‘t will never be light;
A few more days till we totter on the road:—
Then my old Kentucky home, good-night!”
—Stephen Collins Foster (1826–1884)