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Then we relate, the radial part of the d -dimensional conformal mechanics with the Klein model of the Lobachevsky space, which is completely similar to the
The classification of simple finite Jordan superalgebras based on the structure theory of finite conformal Lie superalgebras [ 6 ] includes one series and two exceptional algebras [ 9
Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups.. We verify that the elementary canonical invariants of the sym- metric
Key words: affine hyperspheres; indefinite affine metric; pointwise symmetry; affine diffe- rential geometry; affine spheres; warped products.. 2000 Mathematics Subject
It has been shown, for instance, that for two-dimensional second-order superintegrable systems with nondegenerate potential and the corresponding three- dimensional conformally
In this paper, we consider Riemannian manifolds admitting a semi-symmetric non-metric connection such that U is a unit parallel vector field with respect to the Levi-Civita
The second heavenly equation of Plebanski which determines Riemannian metrics with (anti)- self-dual curvature 2-form implying Ricci-flatness admits bi-Hamiltonian structure.
Conformal assumptions. The Dirac operator ∇ / is conformally covariant, but does not have positive definite leading symbol. With the invariance of the number of zero eigenvalues,
