Article (Scientific journals)
Invariant bidifferential operators on tensor densities over a contact manifold
Mathonet, Pierre
1999In Letters in Mathematical Physics, 48 (3), p. 251-261
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Keywords :
tensor densities; contact manifolds; invariant bidifferential operators
Abstract :
[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
Volume :
48
Issue :
3
Pages :
251-261
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 21 March 2011

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