The Frobenius Theorem

  • Stephen Bruce Sontz
Part of the Universitext book series (UTX)


It could well be argued that the previous chapters were like an introductory course in a foreign language. Much attention was devoted to learning the new vocabulary and relating it to the vocabulary in a previously known language. Then there were a lot of exercises to learn how the new vocabulary is used. So that’s the grammar. But, to continue the analogy, there was no poetry. Or to put it into colloquial mathematical terminology, there were no real theorems. That is about to change. The Frobenius theorem is a real theorem.


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    I. Agricola and T. Friedrich, Global Analysis, Am. Math. Soc., Providence, 2002.Google Scholar
  2. 32.
    S. Lang, Fundamentals of Differential Geometry, Graduate Texts in Mathematics, Vol. 191, Springer, 1999.Google Scholar
  3. 33.
    J. Lee, Introduction to Smooth Manifolds, Graduate Texts in Mathematics, Vol. 218, Springer, 2003.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Stephen Bruce Sontz
    • 1
  1. 1.Centro de Investigación en Matemáticas, A.C.GuanajuatoMexico

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