Robin functions for complex manifolds and applications

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We prove a generalization of the second variation formula of the Robin function associated to a smooth variation of domains in C^N to the case of the c-Robin function associated to a smooth variation of domains in a complex manifold M equipped with a Hermitian metric and a smooth, nonnegative function c. Our purpose is that, with this added flexibility, we are able to give a criterion for a bounded, smoothly bounded, pseudoconvex domain D in a complex homogeneous space to be Stein.
126 pages, 2 figures

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Complex Variables, 32U10

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http://salesiana.dossiersoluciones.com/handle/123456789/139715

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.1901
 http://arxiv.org/abs/0710.1901

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arXiv