New minimal surfaces in $${\mathbb {S}}^3$$ S 3 desingularizing the Clifford tori-Reference-Cited by-同舟云学术

New minimal surfaces in $${\mathbb {S}}^3$$ S 3 desingularizing the Clifford tori

Published:2015-06-06 Issue:3-4 Volume:364 Page:763-776
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Choe Jaigyoung,Soret Marc

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-015-1239-3.pdf

Reference6 articles.

1. Jost, J.: Existence results for embedded minimal surfaces of controlled topological type, I. Ann. Scuola Norm. Sup. Pisa (4) 13, 15–50 (1986)

2. Kapouleas, N.: Doubling and desingularization constructions for minimal surfaces, Surveys in Geometric Analysis and Relativity, ALM 20. International Press (2011)

3. Kapouleas, N., Yang, S.-D.: Minimal surfaces in the three-sphere by doubling the Clifford torus. Am. J. Math. 132(2), 257–295 (2010)

4. Karcher, H., Pinkall, U., Sterling, I.: New minimal surfaces in $${\mathbb{S}}^3$$ S 3 . J. Differ. Geom. 28, 169–185 (1988)

5. Lawson, H.B.: Complete minimal surfaces in $${\mathbb{S}}^3$$ S 3 . Ann. Math. 92, 335–374 (1970)

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