Chapters in this book

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