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Involutive Property of Resolutions of Differential Operators

Published online by Cambridge University Press:  22 January 2016

Masatake Kuranishi*
Affiliation:
Columbia University, New York, NY.U.S.A.
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Let E and E′ be C vector bundles over a C manifold M. Denote by Γ(E) (resp. by Γ(E′) the vector space of C cross-sections of E (resp. of E′) over M. Take a linear differential operator of the first order D: Γ(E) → Γ(E′) induced by a vector bundle mapping σ(D): jl(E) ′ E′, where Jk(E) denotes the vector bundle of k-jets of cross-sections of E.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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