
arXiv: math/0509562
I classified bilinear differential operators acting in the spaces of tensor fields on any real or complex manifold and invariant with respect to the diffeomorphisms in 1980. Here I give the details of the proof.
Differential spaces, Differential forms in global analysis, General theory of partial differential operators, Groups of diffeomorphisms and homeomorphisms as manifolds, 53A55 (Primary) 53C20, 58A99 (Secondary), Differential invariants (local theory), geometric objects, Vector distributions (subbundles of the tangent bundles), invariant operators, Differential topological aspects of diffeomorphisms, FOS: Mathematics, representations of Lie algebras, Representations of Lie algebras and Lie superalgebras, analytic theory, Representation Theory (math.RT), Mathematics - Representation Theory
Differential spaces, Differential forms in global analysis, General theory of partial differential operators, Groups of diffeomorphisms and homeomorphisms as manifolds, 53A55 (Primary) 53C20, 58A99 (Secondary), Differential invariants (local theory), geometric objects, Vector distributions (subbundles of the tangent bundles), invariant operators, Differential topological aspects of diffeomorphisms, FOS: Mathematics, representations of Lie algebras, Representations of Lie algebras and Lie superalgebras, analytic theory, Representation Theory (math.RT), Mathematics - Representation Theory
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