Abstract
Let X be a compact, connected, complex manifold of dimension n, endowed with a hermitian metric ω Let E be a hermitian line bundle over X, and D its Chern connection (i.e. D is compatible with the metric of E, and its (0,1) part is ∂̄). We denote D 2 = c(E) the curvature tensor of E, considered as a (1,1)-form on X. Furthermore, let α1⩽@@@≥ α n be the eigenvalues of ic(E) with respect to ω. When E is positive (i.e. α1 > 0), we can construct a family of new metrics on E called the Fubini-Study metrics.
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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Bouche, T. (1991). Distortion Function and the Heat Kernel of a Positive Line Bundle. In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_10
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DOI: https://doi.org/10.1007/978-3-322-86856-5_10
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-86858-9
Online ISBN: 978-3-322-86856-5
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