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On the Gauss map of minimal surfaces with finite total curvature

Published online by Cambridge University Press:  17 April 2009

Min Ru
Min Ru
Affiliation:
Department of Mathematics, National University of Singapore, Kent Ridge Crescent, Singapore 0511, Republic of Singapore
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Abstract

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We prove that if a nonflat complete regular minimal surface immersed in Rn is of finite total curvature, then its Gauss map can omit at most (n – 1)(n + 2)/2 hyperplanes in general position in Pn–1 (ℂ).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 2 , October 1991 , pp. 225 - 232
Copyright
Copyright © Australian Mathematical Society 1991

References

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