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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
Robin Functions for Complex Manifolds and Applications
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
Robin Functions for Complex Manifolds and Applications
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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
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
  • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.