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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Sub-bundles of the complexified tangent bundle


Authors: Howard Jacobowitz and Gerardo Mendoza
Journal: Trans. Amer. Math. Soc. 355 (2003), 4201-4222
MSC (2000): Primary 57R22, 58J10; Secondary 35F05, 35N10
Published electronically: June 10, 2003
MathSciNet review: 1990583
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Abstract: We study embeddings of complex vector bundles, especially line bundles, in the complexification of the tangent bundle of a manifold. The aim is to understand implications of properties of interest in partial differential equations.


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Additional Information

Howard Jacobowitz
Affiliation: Department of Mathematics, Rutgers University, Camden, New Jersey 08102
Email: jacobowi@camden.rutgers.edu

Gerardo Mendoza
Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
Email: gmendoza@math.temple.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03350-6
PII: S 0002-9947(03)03350-6
Keywords: Complexified tangent bundle, hypo-complex vector fields, Chern class, CR structure, characteristic points
Received by editor(s): September 18, 2002
Received by editor(s) in revised form: February 27, 2003
Published electronically: June 10, 2003
Article copyright: © Copyright 2003 American Mathematical Society