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5 papers · 2 filters
Linear connections on matrix geometries
J. Madore, T. Masson, J. Mourad
A general definition of a linear connection in noncommutative geometry has been recently proposed. Two examples are given of linear connections in noncommutative geometries which a…
Linear Connections in Non-Commutative Geometry
J. Mourad
A construction is proposed for linear connections on non-commutative algebras. The construction relies on a generalisation of the Leibnitz rules of commutative geometry and uses th…
Linear connections on the quantum plane
Michel Dubois-Violette, John Madore, Thierry Masson +1
A general definition has been proposed recently of a linear connection and a metric in noncommutative geometry. It is shown that to within normalization there is a unique linear co…
Conformal Properties of Chern-Simons Vortices in External Fields
C. Duval, P. A. Horváthy, L. Palla
The construction and the symmetries of Chern-Simons vortices in harmonic and uniform magnetic force backgrounds found by Ezawa, Hotta and Iwazaki, and by Jackiw and Pi are generali…
Conformal symmetry of the coupled Chern-Simons and gauged nonlinear Schrödinger equations
C. Duval, P. A. Horvathy, L. Palla
The non-relativistic conformal symmetry found by Jackiw and Pi for the coupled Chern-Simons and gauged nonlinear Schrödinger equations in the plane is derived in a non-relativistic…