132 citations · 1.9k across the 101 of their papers we have counts for
Showing 1999 · math.DGShow all
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math.DG1999★ 81 cited
Algebroids - general differential calculi on vector bundles
Janusz Grabowski, Pawel Urbanski
A notion of an algebroid - a generalization of a Lie algebroid structure is introduced. We show that many objects of the differential calculus on a manifold M associated with the c…
math.DG1999★ 3 cited
On Filippov algebroids and multiplicative Nambu-Poisson structures
Janusz Grabowski, Giuseppe Marmo
We discuss relations between linear Nambu-Poisson structures and Filippov algebras and define Filippov algebroids which are n-ary generalizations of Lie algebroids. We also prove r…
math.DG1999★ 26 cited
Remarks on Nambu-Poisson and Nambu-Jacobi brackets
Janusz Grabowski, Giuseppe Marmo
It is shown that Nambu-Poisson and Nambu-Jacobi brackets can be defined inductively: a n-bracket, n>2, is Nambu-Poisson (resp. Nambu-Jacobi) if and only if fixing an argument we ge…