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On the Gauss map of minimal surfaces with finite total curvature
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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