






Top
results:
1) Gauge gravitation theory on natural bundles where
gravity is a classical Higgs field. 2) Geometric
formulation of classical field theory, including: (i)
the differential calculus and a variational bicomplex on graded
manifolds,
(ii) Lagrangian formalism of even and odd variables on graded bundles,
(iii) Noether theorems in a very general setting of reducible degenerate
Lagrangian systems, (iv) BRSTextended Lagrangian field theory with
higherstage antifields and ghosts. 3) Covariant
Hamiltonian field theory on polysymplectic manifolds. 4) Classical
Higgs field theory on composite bundles.
5) Geometric formulation of nonrelativistic timedependent mechanics
on fibre bundles over R. 6) Its quantization in a form of geometric
quantization of symplectic foliations. 7) Geometric formulation
of relativistic mechanics in terms of jets of onedimensional submanifolds.
8) Extension of the Liouville  Arnold, Nekhoroshev and Mishchenko
 Fomenko theorems on integrable Hamiltonian systems to a general
case of not necessary compact invariant submanifolds.

Total
publication list





My
Scientific Biography 
My
Blog Post Archive 
Mirror
site at Google

Sardanashvily
at LiveJournalResearchGate 
Gravitation
Gauge Theory at

Beig
a pseudoRiemannian metric from the mathematical viewpoint, gravity
by its
physical nature
is a classical Higgs field. A conjecture is that, being a Higgs
field, a metric gravitational field is not quantized, but it is
classical in principle.

Course
of Theoretical Physics: TheorMinimumXXI
and at

This
Course is alternative to the wellknown Course of Theoretical Physics
by Lev Landau in the middle of XX century. Its five volumes provide
contemporary geometric and algebraic topological methods in field
theory, quantum theory, and mechanics.


