35 citations · 421 across the 77 of their papers we have counts for
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Superintegrable Hamiltonian systems with noncompact invariant submanifolds. Kepler system
G. Sardanashvily
The Mishchenko-Fomenko theorem on superintegrable Hamiltonian systems is generalized to superintegrable Hamiltonian systems with noncompact invariant submanifolds. It is formulated…
Lectures on Differential Geometry of Modules and Rings
G. Sardanashvily
Generalizing differential geometry of smooth vector bundles formulated in algebraic terms of the ring of smooth functions, its derivations and the Koszul connection, one can define…
Lectures on supergeometry
G. Sardanashvily
Elements of supergeometry are an ingredient in many contemporary classical and quantum field models involving odd fields. For instance, this is the case of SUSY field theory, BRST…
Gauge conservation laws in a general setting. Superpotential
G. Sardanashvily
The fact that the conserved current of a gauge symmetry is reduced to a superpotential is proved in a very general setting.
On incompleteness of classical field theory
G. Sardanashvily
Classical field theory is adequately formulated as Lagrangian theory on fibre bundles and graded manifolds. One however observes that non-trivial higher stage Noether identities an…
Superintegrable non-autonomous Hamiltonian systems
G. Sardanashvily
The Mishenko-Fomenko theorem on action-angle coordinates for superintegrable autonomous Hamiltonian systems is extended to the non-autonomous ones.