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Finite Order Theorems

  • Ivan Kolář
  • Jan Slovák
  • Peter W. Michor
Chapter

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Ivan Kolář
    • 1
  • Jan Slovák
    • 1
  • Peter W. Michor
    • 2
  1. 1.Department of Algebra and Geometry, Faculty of ScienceMasaryk UniversityBrnoCzechoslovakia
  2. 2.Institut für MathematikUniversität WienWienAustria

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