Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T04:05:26.299Z Has data issue: false hasContentIssue false
  • English
  • Français

Complex submanifolds, connections and asymptotics

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

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 ([email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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