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Total curvature of branched minimal surfaces
Author(s):
Yi
Fang
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1895-1898.
MSC (1991):
Primary 53A10
MathSciNet review:
1322922
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Abstract:
An intrinsic, and much simpler, proof of a generalization of Jorge and Meeks' total curvature formula for complete minimal surfaces is given.
References:
- 1.
- U. Dierkes, S. Hidebrandt, A. Küster, O. Wohlrab., Minimal Surfaces, Vol. I & II, Springer-Verlag, Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest, 1992. MR 94c:49001b
- 2.
- L. P. Jorge and W. H. Meeks III., The topology of complete minimal surfaces of finite total Gauss curvature, Topology 22(2) (1983), 203--221. MR 84d:53006
- 3.
- H. B. Lawson, Jr., Lecture on Minimal Submanifolds, Publish or Perish, Inc., Berkeley, 1980. MR 82d:53035b
- 4.
- R. Osserman., A Survey of Minimal Surfaces, Dover Publications, Inc., New York, 1986. MR 87j:53012
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Additional Information:
Yi
Fang
Affiliation:
Centre for Mathematics and its Applications, School of Mathematical Sciences, The Australian National University, Canberra, ACT 0200, Australia
Email:
yi@maths.anu.edu.au
DOI:
10.1090/S0002-9939-96-03296-0
PII:
S 0002-9939(96)03296-0
Received by editor(s):
November 28, 1994
Additional Notes:
Supported by Australian Research Council grant A69131962.
Communicated by:
Peter Li
Copyright of article:
Copyright
1996,
American Mathematical Society
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