13 citations · 30 across the 8 of their papers we have counts for
Showing 1997Show all
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math-ph1997★ 4 cited
Gauge-potential approach to the kinematics of a moving car
Marian Fecko
A kinematics of the motion of a car is reformulated in terms of the theory of gauge potentials (connection on principal bundle). E(2)-connection originates in the no-slipping conta…
math-ph1997★ 2 cited
"Falling cat" connections and the momentum map
Marian Fecko
We consider a standard symplectic dynamics on TM generated by a natural Lagrangian L. The Lagrangian is assumed to be invariant with respect to the action TR_g of a Lie group G lif…
gr-qc1997★ 13 cited
On 3+1 decompositions with respect to an observer field via differential forms
Marian Fecko
3+1 decompositions of differential forms on a Lorentzian manifold (M,g;+ - - -) with respect to arbitrary observer field and the decomposition of the standard operations acting on…