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 $c$.
| ISBN: | 9780821849651 |
| Publication date: | 28th February 2011 |
| Author: | KangTae Kim, Norman Levenberg, Hiroshi Yamaguchi |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 111 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Real analysis, real variables Calculus and mathematical analysis |