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Robin Functions for Complex Manifolds and Applications

Kang-Tae Kim Pohang University of Science and Technology, Pohang, South Korea
Norman Levenberg Indiana University, Bloomington, IN
Hiroshi Yamaguchi Shiga University, Shiga, Japan
Available Formats:
Electronic 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 Click above image for expanded view Robin Functions for Complex Manifolds and Applications Kang-Tae Kim Pohang University of Science and Technology, Pohang, South Korea Norman Levenberg Indiana University, Bloomington, IN Hiroshi Yamaguchi Shiga University, Shiga, Japan Available Formats:  Electronic 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
• Book Details

Memoirs of the American Mathematical Society
Volume: 2092011; 111 pp
MSC: 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 $c$.

• 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
• 10. Appendix C
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Volume: 2092011; 111 pp
MSC: 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 $c$.

• 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
• 10. Appendix C
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