Lie Groups pp 79-85 | Cite as

The Local Frobenius Theorem

  • Daniel Bump
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)


Let M be an n-dimensional smooth manifold. The tangent bundle TM of M is the disjoint union of all tangent spaces of points of M.


Vector Field Tangent Space Integral Manifold Smooth Vector Field Local Subgroup 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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