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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
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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

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H. B. Lawson, Jr., Lecture on Minimal Submanifolds, Publish or Perish, Inc., Berkeley, 1980. MR 82d:53035b

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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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The following works have cited this article

Collin, Pascal, Topologie et courbure des surfaces minimales proprement plongées de $\bold R\sp 3$, Ann. of Math. (2) 145 (1997), 1--31. (French) MR 98d:53010

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