Annali di Matematica Pura ed Applicata

, Volume 163, Issue 1, pp 329–351 | Cite as

The theory of manifolds from the non-deterministic point of view

  • R. G. Lintz


Using the methods of non-deterministic analysis it is possible to define in a differentiable manifold a special structure called Gauss structure which allows one to study differentiable maps from one manifold into another without the use of local charts. The main theorem in this paper shows how it is possible to locally recover the jacobian of such maps by using the Gauss structures defined in the manifolds in question.


Special Structure Differentiable Manifold Local Chart Gauss Structure 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1993

Authors and Affiliations

  • R. G. Lintz
    • 1
  1. 1.Instituto de Matematica e EstatisticaUniversity of São PauloBrazil

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