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Subjects
Differential geometry -- Classical differential geometry -- Minimal surfaces, surfaces with prescribed mean curvature, Minimal surfaces, Calculus of variations and optimal control; optimization -- Manifolds -- Minimal surfaces, Differential geometry -- Global differential geometry -- Immersions (minimal, prescribed curvature, tight, etc.).Showing 1 featured edition. View all 1 editions?
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A survey on classical minimal surface theory
2012, American Mathematical Society
in English
0821869124 9780821869123
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Book Details
Table of Contents
1. Introduction
2. Basic results in classical minimal surface theory
3. Minimal surfaces with finite topology and more than one end
4. Limits of embedded minimal surfaces without local area or curvature bounds
5. The structure of minimal laminations of R³
6. The Ordering Theorem for the space of ends
7. Conformal structure of minimal surfaces
8. Uniqueness of the Helicoid I: Proper case
9. Embedded minimal annular ends with infinite total curvature
10. The embedded Calabi-Yau problem
11. Local pictures, local removable singularities and dynamics
12. Embedded minimal surfaces of finite genus
13. Topological aspects of minimal surfaces
14. Partial results on the Liouville Conjecture
15. The Scherk Uniqueness Theorem
16. Calabi-Yau problems
17. Outstanding problems and conjectures.
Edition Notes
Includes bibliographical references (pages 171-182).
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