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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Sub-bundles of the complexified tangent bundle
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by Howard Jacobowitz and Gerardo Mendoza PDF
Trans. Amer. Math. Soc. 355 (2003), 4201-4222 Request permission

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
  • MR Author ID: 190037
  • Email: jacobowi@camden.rutgers.edu
  • Gerardo Mendoza
  • Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
  • Email: gmendoza@math.temple.edu
  • Received by editor(s): September 18, 2002
  • Received by editor(s) in revised form: February 27, 2003
  • Published electronically: June 10, 2003
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 355 (2003), 4201-4222
  • MSC (2000): Primary 57R22, 58J10; Secondary 35F05, 35N10
  • DOI: https://doi.org/10.1090/S0002-9947-03-03350-6
  • MathSciNet review: 1990583