Abstract
In this chapter, we extend some of the one-dimensional notions of Chern and Ricci forms to vector bundles. First we do this in the hermitian case. The basic reference is Griffiths’ positivity paper [Gri 1], which cleared up a lot of the formalism in this case. We shall give also another interpretation of the Griffiths function on imbedded complex submanifolds of dimension 1, coming from the higher dimensional tangent bundle, due to Wu.
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© 1987 Springer Science+Business Media New York
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Lang, S. (1987). Curvature on Vector Bundles. In: Introduction to Complex Hyperbolic Spaces. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1945-1_6
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DOI: https://doi.org/10.1007/978-1-4757-1945-1_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3082-8
Online ISBN: 978-1-4757-1945-1
eBook Packages: Springer Book Archive