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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
Front Cover for Robin Functions for Complex Manifolds and Applications
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
Front Cover for Robin Functions for Complex Manifolds and Applications
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  • Front Cover for Robin Functions for Complex Manifolds and Applications
  • Back Cover for Robin Functions for Complex Manifolds and Applications
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 \(c\).

  • Table of Contents
     
     
    • 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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