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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
Posted:
March 24, 2006
MathSciNet review:
2231386
Full-text PDF Free Access
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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  equivalent to the Poincaré dual of the characteristic set of the associated system of linear partial differential equations.
References
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Additional Information
Howard Jacobowitz
Affiliation:
Department of Mathematics, Rutgers University, Camden, New Jersey 08102
Email:
jacobowi@camden.rutgers.edu
DOI:
http://dx.doi.org/10.1090/S0002-9947-06-03998-5
PII:
S 0002-9947(06)03998-5
Keywords:
Generic sub-bundle,
Chern class,
Levi form
Received by editor(s):
September 8, 2004
Posted:
March 24, 2006
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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