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math-ph2007★ 9 cited
On the projective geometry of the supercircle: a unified construction of the super cross-ratio and Schwarzian derivative
Jean-Philippe Michel, Christian Duval
We consider the standard contact structure on the supercircle, S^{1|1}, and the supergroups E(1|1), Aff(1|1) and SpO(2|1) of contactomorphisms, defining the Euclidean, affine and p…
math-ph2007★ 19 cited
Finsler Spinoptics
Christian Duval
The objective of this article is to build up a general theory of geometrical optics for spinning light rays in an inhomogeneous and anisotropic medium modeled on a Finsler manifold…