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  • Print publication year: 2019
  • Online publication date: October 2019

10 - Nonholonomic Tangent Space


In this chapter we introduce the notion of a nonholomonic tangent space, which can be regarded as the “principal part” of the structure defined on a manifold by the distribution in a neighborhood of a point. We give an intrinsic construction through the theory of jets of curves and the notion of smooth admissible variation. Also, we discuss the Ball–Box theorem, and a classification of nonholonomic tangent spaces in low dimensions.

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