Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Generic systems of co-rank one vector distributions

Author: Howard Jacobowitz
Journal: Trans. Amer. Math. Soc. 358 (2006), 4521-4531
MSC (2000): Primary 58J10; Secondary 57R20
Published electronically: March 24, 2006
MathSciNet review: 2231386
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Abstract: This paper studies a generic class of sub-bundles of the complexified tangent bundle. Involutive, generic structures always exist and have Levi forms with only simple zeroes. For a compact, orientable three-manifold the Chern class of the sub-bundle is mod $ 2$ equivalent to the Poincaré dual of the characteristic set of the associated system of linear partial differential equations.

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Howard Jacobowitz
Affiliation: Department of Mathematics, Rutgers University, Camden, New Jersey 08102

Keywords: Generic sub-bundle, Chern class, Levi form
Received by editor(s): September 8, 2004
Published electronically: March 24, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.