35 citations · 421 across the 77 of their papers we have counts for
4 papers · 1 filter
Theory of Classical Higgs Fields. I. Matter Fields
G. Sardanashvily, A. Kurov
Higgs fields are attributes of classical gauge theory on a principal bundle whose structure Lie group if is reducible to a closed subgroup . They are represented by…
Remark on the Serre-Swan theorem for graded manifolds
G. Sardanashvily
Combining the Batchelor theorem and the Serre-Swan theorem, we come to that, given a smooth manifold , a graded commutative -algebra $\cA$ is isomorphic to the stru…
Deviation differential equations. Jacobi fields
G. Sardanashvily
Given a differential equation on a smooth fibre bundle Y, we consider its canonical vertical extension to that, called the deviation equation, on the vertical tangent bundle VY of…
Fibre bundle formulation of time-dependent mechanics
G. Sardanashvily
We address classical and quantum mechanics in a general setting of arbitrary time-dependent transformations. Classical non-relativistic mechanics is formulated as a particular fiel…