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Prolongation on contact manifolds

Eastwood, Michael; Gover, Rod


On contact manifolds we describe a notion of (contact) finite type for linear partial differential operators satisfying a natural condition on their leading terms. A large class of linear differential operators are of finite type in this sense but are not well understood by currently available techniques. We resolve this in the following sense. For any such D we construct a partial connection ∇H on a (finiterank) vector bundle with the property that sections in the null space of D correspond...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Indiana University Mathematics Journal
DOI: 10.1512/iumj.2011.60.4980


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