Shapes of embedded minimal surfaces

Proceedings of the National Academy of Sciences of the United States of America

Volumn 103, Issue 30, 2006, Pages 11106-11111

  Colding, Tobias H ^a,b   Minicozzi II, William P ^c  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b NEW YORK UNIVERSITY   (United States)

^c JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

POLYMER; SOAP;

ARTICLE; BLACK HOLE; CALCULATION; COSMOLOGICAL PHENOMENA; EMBEDDED MINIMAL SURFACE; FILM; GEOMETRY; MATERIALS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NANOTECHNOLOGY; PHYSICAL PHENOMENA; PRIORITY JOURNAL; PROTEIN FOLDING; STRUCTURE ANALYSIS; SURFACE TENSION;

MACROMOLECULAR SUBSTANCES; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MODELS, THEORETICAL; NANOTECHNOLOGY; POLYMERS; PROTEIN ENGINEERING; PROTEIN FOLDING; PROTEINS; SURFACE PROPERTIES; SYSTEMS BIOLOGY;

EID: 33746600631     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.0510379103     Document Type: Article

References (22)

1. Weber, M., Hoffman, D. & Wolf, M. (2005) Proc. Natl. Acad. Sci. USA 102, 16566-16568.
2. Hoffman, D., Weber, M. & Wolf, M. (2006) Ann. Math., in press.
3. Jorge, L. & Xavier, F. (1980) Ann. Math. 112, 203-206.
4. Nadirashvili, N. (1996) Invent. Math. 126, 457-465.
5. Bernstein, S. (1916) Comm. Soc. Math. Kharkov 15, 38-45.
6. Colding, T. H. & Minicozzi, W. P., II (2004) Ann. Math. 160, 27-68.
7. Colding, T. H. & Minicozzi, W. P., II (2004) Ann. Math. 160, 69-92.
8. Colding, T. H. & Minicozzi, W. P., II (2004) Ann. Math. 160, 523-572.
9. Colding, T. H. & Minicozzi, W. P., II (2004) Ann. Math. 160, 573-615.
10. Meeks, W., III, & Rosenberg, H. (2005) Ann. Math. 161, 727-758.
11. Colding, T. H. & Minicozzi, W. P., II (2004) The Calabi-Yau Conjectures for Embedded Surfaces, preprint.
12. Schoen, R. (1983) J. Differ. Geom. 18, 791-809.
13. Collin, P. (1997) Ann. Math. 145, 1-31.
14. Colding, T. H. & Minicozzi, W. P., II (2001) Duke Math. J. 107, 421-426.
15. Meeks, W., III, & Perez, J. (2004) in Eigenvalues of Laplacians and Other Geometric Operators, Surveys in Differential Geometry, eds. Grigor'yan, A. & Yau, S.-T. (International, Somerville, MA), Vol. 9, pp. 275-336.
16. Colding, T. H. & Minicozzi, W. P., II (2005) The Space of Embedded Minimal Surfaces of Fixed Genus in a 3-Manifold V: Fixed Genus, preprint.
17. Calabi, E. (1966) in Proceedings of the United States-Japan Seminar in Differential Geometry Kyoto, Japan, 1965 (Nippon Hyoronsha, Tokyo), p. 170.
18. Chern, S. S. (1966) Bull. Am. Math. Soc. 72, 167-219.
19. Yau, S. T. (1982) Ann. Math. Studies 102, 669-706.
20. Yau, S. T. (2000) Review of Geometry and Analysis, Mathematics: Frontiers and Perspectives (Am. Math. Soc., Providence, RI), pp. 353-401.
21. Lopez, F. Martin, F. & Morales, S. (2002) J. Differ. Geom. 60, 155-175.
22. Hoffman, D. & Meeks, W., III (1990) Invent. Math. 101, 373-377.