8 citations · 19 across the 5 of their papers we have counts for
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Geodesics on a supermanifold and projective equivalence of super connections
Thomas Leuther, Fabian Radoux, Gijs Tuynman
We investigate the concept of projective equivalence of connections in supergeometry. To this aim, we propose a definition for (super) geodesics on a supermanifold in which, as in…
Affine bundles are affine spaces over modules
Thomas Leuther
We show that the category of affine bundles over a smooth manifold M is equivalent to the category of affine spaces modelled on projective finitely generated C^\infty(M)-modules. U…
On a Lie Algebraic Characterization of Vector Bundles
Pierre B. A. Lecomte, Thomas Leuther, Elie Zihindula Mushengezi
We prove that a vector bundle is characterized by the Lie algebra generated by all differential operators on which are eigenvectors of the Lie derivative in the di…
On osp(p+1,q+1|2r)-equivariant quantizations
Thomas Leuther, Pierre Mathonet, Fabian Radoux
We investigate the concept of equivariant quantization over the superspace R^{p+q|2r}, with respect to the orthosymplectic algebra osp(p+1,q+1|2r). Our methods and results vary upo…
Natural and Projectively Invariant Quantizations on Supermanifolds
Thomas Leuther, Fabian Radoux
The existence of a natural and projectively invariant quantization in the sense of P. Lecomte [Progr. Theoret. Phys. Suppl. (2001), no. 144, 125-132] was proved by M. Bordemann [ma…