A balancing condition for weak limits of families of minimal surfaces

Commentarii Mathematici Helvetici

Volumn 79, Issue 4, 2004, Pages 798-825

  Traizet, Martin ^a  

^a UNIVERSITÉ DE TOURS   (France)

Author keywords

Compactness; Forces; Minimal surface

Indexed keywords

EID: 7244219784     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00014-004-0805-1     Document Type: Article

References (11)

1. 3 with total curvature 12π, Journal Diff. Geom. 30 (3) (1989), 597-618.
2. D. Hoffman and H. Karcher, Complete Embedded Minimal Surfaces of Finite Total Curvature, in: R. Osserman (ed.), Geometry V, 5-93, Encyclopedia of Math. Sci. 90, Springer-Verlag, 1997.
3. Lehto, Virtanen, Quasiconformal mappings in the plane, second edition, Springer-Verlag, 1973.
4. F. Lopez and A. Ros, On embedded complete minimal surfaces of genus zero, Journal Diff. Geom. 33 (1991), 293-300.
5. o 1 (1998), 107-132.
6. J. Perez and A. Ros, Properly embedded minimal surfaces with finite total curvature, Preprint, 2000.
7. J. Perez and A. Ros, The space of properly embedded minimal surfaces with finite total curvature, Indiana Univ. Math. J. 45 (1996), 177-204.
8. o 1 (1995), 139-152.
9. R. Sibner, Remarks on the Koebe Kreisnormierungsproblem, Comm. Math. Helv. 43 (1968), 289-295.
10. R. Schoen, Uniqueness, symmetry and embeddedness of minimal surfaces, Journal Diff. Geom. 18 (1983), 791-809.
11. M. Traizet, An embedded minimal surface with no symmetries, Journal Diff. Geom. 60 (1) (2002), 103-153.