eBook ISBN: | 978-1-4704-0598-4 |
Product Code: | MEMO/209/984.E |
List Price: | $74.00 |
MAA Member Price: | $66.60 |
AMS Member Price: | $44.40 |
eBook ISBN: | 978-1-4704-0598-4 |
Product Code: | MEMO/209/984.E |
List Price: | $74.00 |
MAA Member Price: | $66.60 |
AMS Member Price: | $44.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 209; 2011; 111 ppMSC: Primary 32
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 \(c\).
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Table of Contents
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Chapters
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1. Introduction
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2. The variation formula
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3. Subharmonicity of $-\lambda $
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4. Rigidity
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5. Complex Lie groups
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6. Complex homogeneous spaces
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7. Flag space
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8. Appendix A
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9. Appendix B
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10. Appendix C
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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 \(c\).
-
Chapters
-
1. Introduction
-
2. The variation formula
-
3. Subharmonicity of $-\lambda $
-
4. Rigidity
-
5. Complex Lie groups
-
6. Complex homogeneous spaces
-
7. Flag space
-
8. Appendix A
-
9. Appendix B
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10. Appendix C