The Extension Problem for Compact Submanifolds of Complex Manifolds I

Ph. A. Griffiths
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Ph. A. Griffiths: University of California, Department of Mathematics

A chapter in Proceedings of the Conference on Complex Analysis, 1965, pp 113-142 from Springer

Abstract: Abstract Let X be a compact, complex submanif old of a V. We wish to consider over X certain analytic objects, such as: (i) a holomorphic vector bundle E → X (the notations are explained in § 1 below); (ii) a subspace S ⊂ H q (X, ε); or (iii) a holomorphic mapping f: X → Y for some complex manifold Y. The extension problem we consider is, given an analytic object a over X, to find a corresponding analytic object β over V such that β restricted to X gives α.

Keywords: Exact Sequence; Complex Manifold; Extension Problem; Holomorphic Vector Bundle; Harmonic Theory (search for similar items in EconPapers)
Date: 1965
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DOI: 10.1007/978-3-642-48016-4_12

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