On some directions in the development of jet calculus

Details On some directions in the development of jet calculus On some directions in the development of jet calculus

2011-10-18

arxiv.org/abs/1110.4010v2

Mathematics

Differential Geometry

To appear in Banach Center Publications as Proceedings of Baltic-Nordic Workshop Algebra, Geometry, and Mathematical Physics,

Scientific paper

Two significant directions in the development of jet calculus are showed. First, jets are generalized to so-called quasijets. Second, jets of foliated and multifoliate manifold morphisms are presented. Although the paper has mainly a survey character, it also includes new results: jets modulo multifoliations are introduced and its relation to $(R,S,Q)$-jets is demonstrated.

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