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math-ph2013★ 2 cited
The existence of a canonical lifting of even Poisson Structures to the Algebra of Densities
A. Biggs
In this note we construct a canonical lifting of arbitrary Poisson structures on a manifold to its algbera of densities. Using this construction we proceed to classify all extensio…
math-ph2013★ 4 cited
Operator pencil passing through a given operator
A. Biggs, H. M. Khudaverdian
Let be a linear differential operator acting on the space of densities of a given weight $\lo$ on a manifold . One can consider a pencil of operators $\hPi(Δ)=\{Δ_ł\}$ passi…