Chapter

5. Surfaces Imbedded in a Given Surface

Menahem Schiffer and Donald Clayton Spencer

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Functionals of Finite Riemann Surfaces

This chapter is in the book Functionals of Finite Riemann Surfaces

© 2016 Princeton University Press, Princeton

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© 2016 Princeton University Press, Princeton

You are currently not able to access this content.

Chapters in this book

Frontmatter i
Preface v
Acknowledgments vii
Contents viii
1. Geometrical and Physical Considerations 1
2. Existence Theorems for Finite Riemann Surfaces 25
3. Relations between Differentials 64
4. Bilinear Differentials 88
5. Surfaces Imbedded in a Given Surface 143
6. Integral Operators 181
7. Variations of Surfaces and of their Functionals 273
8. Applications of the Variational Method 357
9. Remarks on Generalization to Higher Dimensional Kähler Manifolds 408
Index 448

https://doi.org/10.1515/9781400877522-007

Chapters in this book

Frontmatter i
Preface v
Acknowledgments vii
Contents viii
1. Geometrical and Physical Considerations 1
2. Existence Theorems for Finite Riemann Surfaces 25
3. Relations between Differentials 64
4. Bilinear Differentials 88
5. Surfaces Imbedded in a Given Surface 143
6. Integral Operators 181
7. Variations of Surfaces and of their Functionals 273
8. Applications of the Variational Method 357
9. Remarks on Generalization to Higher Dimensional Kähler Manifolds 408
Index 448

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