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.
KeywordsVector Bundle Line Bundle Complex Manifold Length Function Holomorphic Vector Bundle
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