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- G Marmo, G Vilasi, A M Vinogradov
- 1997

n-Lie algebra structures on smooth function algebras given by means of multi-differential operators, are studied. Necessary and sufficient conditions for the sum and the wedge product of two n-Poisson sructures to be again a multi-Poisson are found. It is proven that the canonical n-vector on the dual of an n-Lie algebra g is n-Poisson iff dim g ≤ n + 1.… (More)

- P Norris, M Noble, +5 authors P Stoodley
- Antimicrobial agents and chemotherapy
- 2005

Indwelling prostheses and subcutaneous delivery devices are now routinely and indispensably employed in medical practice. However, these same devices often provide a highly suitable surface for bacterial adhesion and colonization, resulting in the formation of complex, differentiated, and structured communities known as biofilms. The University of… (More)

To Wlodek Tulczyjew, on the occasion of his 65th birthday. Abstract. With the help of the multigraded Nijenhuis– Richardson bracket and the multigraded Gerstenhaber bracket from [7] for every n ≥ 2 we define n-ary associative algebras and their modules and also n-ary Lie algebras and their modules, and we give the relevant formulas for Hochschild and… (More)

- G Sparano, G Vilasi, A M Vinogradov
- 2008

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 described. They are parametrized either by solutions of a transcendental equation (the tortoise equation), or by solutions of a linear second order differential equation in two… (More)

We discuss several aspects of singularities of the solutions of the partial differential equations of Klein–Gordon, Schrödinger and Dirac. In particular we analyze the fold type singularity, of the first and higher orders, and the related characteristic equations. We also consider the field equations as reduction of homogenous equations in higher… (More)

If K is a commutative ring and A is a K-algebra, for any sequence σ of positive integers there exists [Vi2] an higher order analogue dR σ of the standard de Rham complex dR ≡ dR (1,...,1,..) , which can also be defined starting from suitable (=differentially closed) subcategories of A − Mod. The main result of this paper is that the cohomology of dR σ does… (More)

- D Catalano, Ferraioli And, A M Vinogradov
- 2008

Some new results on geometry of classical parabolic Monge-Ampere equations (PMA) are presented. PMAs are either integrable, or nonintegrable according to integrability of its characteristic distribution. All integrable PMAs are locally equivalent to the equation u xx = 0. We study nonintegrable PMAs by associating with each of them a 1-dimensional… (More)

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 transition in order to comply with the new imposed conditions. Building on previous work on the Hamiltonian theory of impact, we tackle the problem of mathematically describing the… (More)

- G Sparano, G Vilasi, A M Vinogradov
- 2008

Vacuum Einstein metrics with bidimensional Killing leaves. Abstract A formalism (ζ-complex analysis), allowing one to construct global Einstein metrics by matching together local ones described in the papers [Phys. Lett.

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