[en] The spaces of tensor densities over a manifold M are modules over the Lie algebra
Vect (M) of vector fields over the manifold. When M is a contact manifold, one can consider
the algebra C(M) of vector fields which preserves the contact structure. If the manifold is endowed
with a contact projective structure, there is an embedding of the linear symplectic algebra
sp (2n+2,R) in C(M). In this Letter, we determine the C(M)- and the sp(2n+2,R)-invariant
bidifferential operators on tensor densities.
Disciplines :
Mathematics
Author, co-author :
Mathonet, Pierre ; Université de Liège - ULiège > Département de mathématique > Département de mathématique
Language :
English
Title :
Invariant bidifferential operators on tensor densities over a contact manifold
Publication date :
1999
Journal title :
Letters in Mathematical Physics
ISSN :
0377-9017
eISSN :
1573-0530
Publisher :
Springer Science & Business Media B.V., Dordrecht, Netherlands
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