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Robin Functions for Complex Manifolds and Applications

By: Kang-Tae Kim (Author) , Norman Levenberg (Author) , Hiroshi Yamaguchi (Author)

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Ksh 18,650.00

Format: Paperback or Softback

ISBN-13: 9780821849651

Publisher: American Mathematical Society

Publication Date: Feb 28th, 2011

Category: Complex analysis, complex variables

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In a previous study Levenberg and Yamaguchi analysed the second variation of the Robin function $-\lambda(t)$ associated to a smooth variation of domains in $\mathbb{C}^n$ for $n\geq 2$. In the current work, the authors study a generalisation of this second variation formula to complex manifolds $M$ equipped with a Hermitian metric $ds^2$ and a smooth, nonnegative function $c$.

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