Robin Functions for Complex Manifolds and Applications (Memoirs of the American Mathematical Society)

by Kang-Tae Kim, Norman Levenberg, and Hiroshi Yamaguchi

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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 $c$.

  • ISBN13 9780821849651
  • Publish Date 23 December 2011
  • Publish Status Active
  • Publish Country US
  • Imprint American Mathematical Society
  • Format Paperback
  • Pages 111
  • Language English