A Canonical Laplacian on the Algebra of Densities on a Projectively Connected Manifold
نویسنده
چکیده
On a manifold with a projective connection we canonically assign a second order differential operator acting on the algebra of all densities to any tensor density S of fixed weight λ. In particular, this implies that on any projectively connected manifold, a ‘bracket’ (symmetric biderivation) on the algebra of functions extends canonically to the algebra of densities.
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