Abstract
The convention in force throughout this chapter is that all complex manifolds are locally compact connected spaces and all objects defined on them (differential forms, Hermitian metrics, etc) are C ∞ unless stated to the contrary. It is well known that such complex manifolds under consideration are metrizable. A customary and useful device is to metrize these by imposing on them a Hermitian metric h, from which one derives a distance function d(,) ≡ d h (,) which converts the manifold into a metric space.
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© 1999 Springer Science+Business Media Dordrecht
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Hu, PC., Yang, CC. (1999). Hyperbolicity in complex dynamics. In: Differentiable and Complex Dynamics of Several Variables. Mathematics and Its Applications, vol 483. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9299-4_5
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DOI: https://doi.org/10.1007/978-94-015-9299-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5246-9
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