Title: Chapter I The Differential Geometry of Higher Order Jets and Tangent Bundles
Abstract: Publisher SummaryThis chapter discusses differential geometry of higher order Jets and tangent bundles. It is shown that this jet bundle possess in a canonical way a certain kind of geometric structure, the so called almost tangent structure of higher order, and which is a generalization of the almost tangent geometry of the tangent bundle. This almost tangent geometry of higher order provides a special differential calculus which is a generalization of the formalism. The chapter examined the extension of the notion of "spray" to higher order tangent bundles. The theory of sprays is closely related to the theory of connections on manifolds; therefore, connections of higher order are introduced and the relation between sprays and connections is studied in detail.
Publication Year: 1985
Publication Date: 1985-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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