Total curvature of branched minimal surfaces
Author:
Yi Fang
Journal:
Proc. Amer. Math. Soc. 124 (1996), 1895-1898
MSC (1991):
Primary 53A10
DOI:
https://doi.org/10.1090/S0002-9939-96-03296-0
MathSciNet review:
1322922
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: An intrinsic, and much simpler, proof of a generalization of Jorge and Meeks' total curvature formula for complete minimal surfaces is given.
- 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
Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 53A10
Retrieve articles in all journals with MSC (1991): 53A10
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:
https://doi.org/10.1090/S0002-9939-96-03296-0
Received by editor(s):
November 28, 1994
Additional Notes:
Supported by Australian Research Council grant A69131962.
Communicated by:
Peter Li
Article copyright:
© Copyright 1996
American Mathematical Society
