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math.DG2009★ 3 cited
Projective Connections and Schwarzian Derivatives for Supermanifolds, and Batalin-Vilkovisky Operators
Jacob George
We extend the notion of a Thomas projective connection (a projective equivalence class of linear connections) for supermanifolds. As a by-product, we arrive at a generalisation of…
math.DG2009★ 3 cited
A Canonical Laplacian on the Algebra of Densities on a Projectively Connected Manifold
Jacob George
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 of fixed…
math.DG2008★ 1 cited
Projective Connections and the Algebra of Densities
Jacob George
Projective connections first appeared in Cartan's papers in the 1920's. Since then they have resurfaced periodically in, for example, integrable systems and perhaps most recently i…