Density On A Manifold - Conventions

Conventions

In some areas, particularly conformal geometry, a different weighting convention is used: the bundle of s-densities is instead associated with the character

With this convention, for instance, one integrates n-densities (rather than 1-densities). Also in these conventions, a conformal metric is identified with a tensor density of weight 2.

Read more about this topic:  Density On A Manifold

Famous quotes containing the word conventions:

    Languages exist by arbitrary institutions and conventions among peoples; words, as the dialecticians tell us, do not signify naturally, but at our pleasure.
    François Rabelais (1494–1553)

    What people don’t realize is that intimacy has its conventions as well as ordinary social intercourse. There are three cardinal rules—don’t take somebody else’s boyfriend unless you’ve been specifically invited to do so, don’t take a drink without being asked, and keep a scrupulous accounting in financial matters.
    —W.H. (Wystan Hugh)

    Art, it seems to me, should simplify. That, indeed, is very nearly the whole of the higher artistic process; finding what conventions of form and what detail one can do without and yet preserve the spirit of the whole—so that all that one has suppressed and cut away is there to the reader’s consciousness as much as if it were in type on the page.
    Willa Cather (1873–1947)