Finite Order Theorems

Ivan Kolář, Jan Slovák and Peter W. Michor
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Ivan Kolář: Masaryk University, Department of Algebra and Geometry, Faculty of Science
Jan Slovák: Masaryk University, Department of Algebra and Geometry, Faculty of Science
Peter W. Michor: Universität Wien, Institut für Mathematik

Chapter Chapter V in Natural Operations in Differential Geometry, 1993, pp 168-211 from Springer

Abstract: Abstract The purpose of this chapter is to develop a general framework for the theory of geometric objects and operators and to reduce local geometric considerations to finite order problems. In general, the latter is a hard analytical problem and its solution essentially depends on the category in question. Roughly speaking, our methods are efficient when we deal with a sufficiently large class of smooth maps, but they fail e.g. for analytic maps.

Keywords: Vector Bundle; Natural Transformation; Finite Order; Natural Operator; Smooth Action (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-02950-3_5

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DOI: 10.1007/978-3-662-02950-3_5

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