Memoirs of the American Mathematical Society 2011; 111 pp; softcover Volume: 209 ISBN10: 0821849654 ISBN13: 9780821849651 List Price: US$70 Individual Members: US$42 Institutional Members: US$56 Order Code: MEMO/209/984
 In a previous Memoirs (Vol. 92, No. 448), Levenberg and Yamaguchi analyzed 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 generalization of this second variation formula to complex manifolds \(M\) equipped with a Hermitian metric \(ds^2\) and a smooth, nonnegative function \(c\). Table of Contents  Introduction
 The variation formula
 Subharmonicity of \(\lambda\)
 Rigidity
 Complex Lie groups
 Complex homogeneous spaces
 Flag space
 Appendix A
 Appendix B
 Appendix C
 Bibliography
