2 citations · 4 across the 5 of their papers we have counts for
6 papers
Hamiltonian theory of constrained impulsive motion
Jorge Cortes, Alexandre M. Vinogradov
This paper considers systems subject to nonholonomic constraints which are not uniform on the whole configuration manifold. When the constraints change, the system undergoes a tran…
Vacuum Einstein metrics with bidimensional Killing leaves.II-Global aspects
G. sparano, G. Vilasi, A. Vinogradov
A formalism (zeta-complex analysis), allowing one to construct global Einstein metrics by matching together local ones described in the papers Phys. Lett. B 513(2001)142-146; Diff.…
Vacuum Einstein metrics with bidimensional Killing leaves. I-Local aspects
G. Sparano, G. Vilasi, A. Vinogradov
The solutions of vacuum Einstein's field equations, for the class of Riemannian metrics admitting a non Abelian bidimensional Lie algebra of Killing fields, are explicitly describe…
On higher order analogues of de Rham cohomology
Gabriele Vezzosi, Alexandre M. Vinogradov
If K is a commutative ring and A is a K-algebra, for any sequence of positive integers there exists an higher order analogue dR() of the standard de Rham complex dR(1,...,1,…
Jumping oscillator
F. Pugliese, A. Vinogradov
It is shown that a lagrangian system whose Legendre transformation degenerates along a hypersurface behaves in a strange manner by jumping from time to time without any ''visible c…
n-ary Lie and Associative Algebras
Peter W. Michor, Alexandre M. Vinogradov
With the help of the multigraded Nijenhuis-- Richardson bracket and the multigraded Gerstenhaber bracket from [7] for every we define -ary associative algebras and thei…