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题名/责任者:

A survey on classical minimal surface theory = 经典极小曲面理论概述 / William H. Meeks III, Joaqui?n Pe?rez.

出版发行项:

北京 : 高等教育出版社, 2022.

ISBN:

9787040570298

载体形态项:

x, 182 pages : illustrations (chiefly color) ; 26 cm.

变异题名:

经典极小曲面理论概述

丛编说明:

美国数学会经典影印系列

个人责任者:

Meeks, William, author.

附加个人名称:

Pe?rez, Joaqui?n, 1966- author.

论题主题:

Minimal surfaces.

中图法分类号:

O186.16

一般附注:

"AMS American Mathematical Society"

书目附注:

Includes bibliographical references (pages 171-182)

内容附注:

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 R? -- 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.

原版附注:

Reprint. Originally published: Providence, Rhode Island : American Mathematical Society, [2012]. University lecture series ; Volume 60. 9780821869123 (pbk. : alk. paper)

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