35 citations · 421 across the 77 of their papers we have counts for
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Partially superintegrable systems on Poisson manifolds
A. Kurov, G. Sardanashvily
Superintegrable systems on a symplectic manifold conventionally are considered. However, their definition implies a rather restrictive condition 2n=k+m where 2n is a dimension of a…
Differential calculus over N-graded commutative rings
G. Sardanashvily, W. Wachowski
The Chevalley-Eilenberg differential calculus and differential operators over N-graded commutative rings are constructed. This is a straightforward generalization of the differenti…
Lecture on Gauge Gravitation Theory. Gravity as a Higgs Field
G. Sardanashvily
Gravitation theory is formulated as gauge theory on natural bundles with spontaneous symmetry breaking where gauge symmetries are general covariant transformations, gauge fields ar…
Classical Higgs fields
G. Sardanashvily
We consider classical gauge theory on a principal bundle P->X in a case of spontaneous symmetry breaking characterized by the reduction of a structure group G of P->X to its closed…
Composite bundles in Clifford algebras. Gravitation theory. Part I
G. Sardanashvily, A. Yarygin
Based on a fact that complex Clifford algebras of even dimension are isomorphic to the matrix ones, we consider bundles in Clifford algebras whose structure group is a general line…
Deformation quantization on jet manifolds
G. Sardanashvily, A. Zamyatin
Deformation quantization conventionally is described in terms of multidifferential operators. Jet manifold technique is well-known provide the adequate formulation of theory of dif…