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A survey on classical minimal surface theory
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A survey on classical minimal surface theory

William Meeks

Publication Data

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.

Topics

Catalogue Data

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A survey on classical minimal surface theory by William Meeks. ISBN 9780821869123. Published by American Mathematical Society in 2012. Publication and catalogue information, links to buy online and reader comments.

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