Sub-bundles of the complexified tangent bundle

Jacobowitz, Howard; Mendoza, Gerardo

doi:10.1090/S0002-9947-03-03350-6

Sub-bundles of the complexified tangent bundle
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by Howard Jacobowitz and Gerardo Mendoza

Trans. Amer. Math. Soc. 355 (2003), 4201-4222

DOI: https://doi.org/10.1090/S0002-9947-03-03350-6

Published electronically: June 10, 2003

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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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