Geometry of certain first order differential operators and its applications to general connections (Q1113090)
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scientific article; zbMATH DE number 4080297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of certain first order differential operators and its applications to general connections |
scientific article; zbMATH DE number 4080297 |
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Geometry of certain first order differential operators and its applications to general connections (English)
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1988
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Let V and W be two vector bundles over M and \(P\in Hom(V,W).\) The author initiates a study of some first order differential operators from V to W with respect to P. These operators are generalizations of the operators of covariant derivatives induced by general connections [see \textit{T. Otsuki}, Math. J. Okayama Univ. 8, 143-180 (1958; Zbl 0197.481)]. Then the theory developed for such operators is applied to a theory of vector subbundles of a vector bundle endowed with a general connection.
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vector subbundles
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vector bundle
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general connection
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0.92842036
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0.9178115
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0.9137372
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0.9039335
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0.90053785
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0.89946187
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