Bibliographic Information

Robin functions for complex manifolds and applications

Kang-Tae Kim, Norman Levenberg, Hiroshi Yamaguchi

(Memoirs of the American Mathematical Society, no. 984)

American Mathematical Society, c2010

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Note

"Volume 209, number 984 (third of 5 numbers)."

Includes bibliographical references (p. 111)

Description and Table of Contents

Description

In a previous Memoirs (Vol. 92, No. 448), 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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