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Isometric Embedding of Riemannian Manifolds in Euclidean Spaces
About this Title
Qing Han, University of Notre Dame, Notre Dame, IN and Jia-Xing Hong, Fudan University, Shanghai, China
Publication: Mathematical Surveys and Monographs
Publication Year:
2006; Volume 130
ISBNs: 978-0-8218-4071-9 (print); 978-1-4704-1357-6 (online)
DOI: https://doi.org/10.1090/surv/130
MathSciNet review: MR2261749
MSC: Primary 53C21; Secondary 35J60, 35J70, 35L45, 35L80, 35M10, 53C24, 53C45
Table of Contents
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Front/Back Matter
Chapters
- 1. Fundamental theorems
- 2. Surfaces in low dimensional Euclidean spaces
- 3. Basic equations
- 4. Nonzero Gauss curvature
- 5. Gauss curvature changing sign cleanly
- 6. Nonnegative Gauss curvature
- 7. Nonpositive Gauss curvature
- 8. Deformation of surfaces
- 9. The Weyl problem
- 10. Complete negatively curved surfaces
- 11. Boundary value problems