Gennadi Sardanashvily

Gennadi Sardanashvily (Russian: Генна́дий Алекса́ндрович Сарданашви́ли; March 13, 1950 - September 1, 2016) was a theoretical physicist, a principal research scientist of Moscow State University.

Gennadi Sardanashvily graduated from Moscow State University (MSU) in 1973, he was a Ph.D. student of the Department of Theoretical Physics (MSU) in 1973–76, where he held a position in 1976.

He attained his Ph.D. degree in physics and mathematics from MSU, in 1980, with Dmitri Ivanenko as his supervisor, and his D.Sc. degree in physics and mathematics from MSU, in 1998.

Gennadi Sardanashvily was the founder and Managing Editor (2003 - 2013) of the International Journal of Geometric Methods in Modern Physics (IJGMMP).

He was a member of Lepage Research Institute (Czech Republic).

Gennadi Sardanashvily research area is geometric method in classical and quantum mechanics and field theory, gravitation theory. His main achievement is geometric formulation of classical field theory and non-autonomous mechanics including:

• gauge gravitation theory, where gravity is treated as a classical Higgs field associated to a reduced Lorentz structure on a world manifold
• geometric formulation of classical field theory and Lagrangian BRST theory where classical fields are represented by sections of fiber bundles and their dynamics is described in terms of jet manifolds and the variational bicomplex (covariant classical field theory)
• covariant (polysymplectic) Hamiltonian field theory, where momenta correspond to derivatives of fields with respect to all world coordinates
• the second Noether theorem in a very general setting of reducible degenerate Grassmann-graded Lagrangian systems on an arbitrary manifold
• geometric formulation of classical and quantum non-autonomous mechanics on fiber bundles over ${\displaystyle \mathbb {R} }$
• generalization of the Liouville–Arnold, Nekhoroshev and Mishchenko–Fomenko theorems on completely and partially integrable and superintegrable Hamiltonian systems to the case of non-compact invariant submanifolds
• cohomology of the variational bicomplex of graded differential forms of finite jet order on an infinite order jet manifold.

Gennadi Sardanashvily has published more than 400 scientific works, including 28 books.

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