2003•Transactions of the American Mathematical SocietyOpen access

Sub-bundles of the complexified tangent bundle

Howard Jacobowitz, Gerardo A. Mendoza

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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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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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Available 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.

Key concepts: Mathematics, Tangent bundle, Unit tangent bundle, Normal bundle, Frame bundle, Bundle, Pure mathematics, Vector bundle

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