The classification of complete minimal surfaces in $\mathbf{R}^3$ with total curvature greater than $ - 8 \pi$
William H. Meeks, III
Source: Duke Math. J. Volume 48, Number 3
(1981), 523-535.
First Page:
Show
Hide
Primary Subjects:
53A10
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077314779
Mathematical Reviews number (MathSciNet): MR630583
Zentralblatt MATH identifier: 0472.53010
Digital Object Identifier: doi:10.1215/S0012-7094-81-04829-8
References
[1] C. C. Chen and P. A. Q. Simões, Superficies minimas do $\mathbf{R}^{n}$, Escola de geometria diferencial, Universidade Estadual de Campinas, São Paulo, Brazil, 1980.
[2] F. Gackstatter, Topics on minimal surfaces, Departamento de matemática, São Paulo, Brazil, 1980, USP.
[3] D. A. Hoffman and R. Osserman, The geometry of the generalized Gauss map, Mem. Amer. Math. Soc. 28 (1980), no. 236, iii+105.
Mathematical Reviews (MathSciNet): MR82b:53012
Zentralblatt MATH: 0469.53004
[4] L. P. Jorge and W. H. Meeks III, The topology of complete minimal surfaces of finite total curvature, to appear in Topology.
[5] W. H. Meeks III, Lectures on Plateau's problem, IMPA, Rio de Janeiro, Brazil, 1978.
[6] W. H. Meeks III, The conformal structure and geometry of triply periodic minimal surfaces in $\mathbf{R}^{3}$, Thesis, University of California, Berkeley, 1976, (revised).
[7] W. H. Meeks III, A survey of the geometric results in the classical theory of minimal surfaces, Bol. Soc. Brasil. Mat. 12 (1981), no. 1, 29–86.
Mathematical Reviews (MathSciNet): MR84d:53007
Zentralblatt MATH: 0577.53007
Digital Object Identifier: doi:10.1007/BF02588319
[8] III, W. H. Meeks, The conjugate surface construction of symmetric complete minimal surfaces of small finite total curvature, in preparation.
[9] R. Osserman, Global properties of minimal surfaces in $E\sp{3}$ and $E\sp{n}$, Ann. of Math. (2) 80 (1964), 340–364.
Mathematical Reviews (MathSciNet): MR31:3946
Zentralblatt MATH: 0134.38502
Digital Object Identifier: doi:10.2307/1970396
JSTOR: links.jstor.org
Duke Mathematical Journal
