E-Book, Englisch, 462 Seiten
Reihe: Princeton Legacy Library
Schiffer / Spencer Functionals of Finite Riemann Surfaces
Erscheinungsjahr 2016
ISBN: 978-1-4008-7752-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 462 Seiten
Reihe: Princeton Legacy Library
ISBN: 978-1-4008-7752-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the surface itself. Many new results are presented.
Originally published in 1954.
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Autoren/Hrsg.
Weitere Infos & Material
Frontmatter, pg. i
Preface, pg. v
Acknowledgments, pg. vii
Contents, pg. viii
1. Geometrical and Physical Considerations, pg. 1
2. Existence Theorems for Finite Riemann Surfaces, pg. 25
3. Relations between Differentials, pg. 64
4. Bilinear Differentials, pg. 88
5. Surfaces Imbedded in a Given Surface, pg. 143
6. Integral Operators, pg. 181
7. Variations of Surfaces and of their Functionals, pg. 273
8. Applications of the Variational Method, pg. 357
9. Remarks on Generalization to Higher Dimensional Kähler Manifolds, pg. 408
Index, pg. 448
