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Complex submanifolds, connections and asymptotics

Part of: Symplectic geometry, contact geometry Complex manifolds Global differential geometry

Published online by Cambridge University Press:  30 April 2010

Tatyana Foth
Tatyana Foth
Affiliation:
Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada (tfoth@uwo.ca)
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Abstract

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Let L → X be a positive line bundle on a compact complex manifold X. For compact submanifolds Y, S of X and a holomorphic submersion Y → S with compact fibre, we study curvature of a natural connection on certain line bundles on S.

Keywords

compact Kähler manifoldsholomorphic line bundlescurvatureasymptotics

MSC classification

Secondary: 32Q15: Kähler manifolds 53C05: Connections, general theory 53D50: Geometric quantization
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 2 , June 2010 , pp. 373 - 383
Copyright
Copyright © Edinburgh Mathematical Society 2010