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ArticleOriginal scientific text

Title

Singularities and normal forms of generic 2-distributions on 3-manifolds

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
  2. Department of Mathematics, Technion, 32000 Haifa, Israel

Abstract

We give a complete classification of germs of generic 2-distributions on 3-manifolds. By a 2-distribution we mean either a module generated by two vector fields (at singular points its dimension decreases) or a Pfaff equation, i.e. a module generated by a differential 1-form (at singular points the dimension of its kernel increases).

Bibliography

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Studia Mathematica
1995/113/3
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Pages:
223-248
Main language of publication
English
Received
1993-12-17
Accepted
1994-09-27
Published
1995
Exact and natural sciences