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A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space

Published online by Cambridge University Press:  20 November 2018

Pham Hoang Ha  and
Yu Kawakami
Pham Hoang Ha
Affiliation:
Department of Mathematics, Hanoi National University of Education, 136, XuanThuy str., Hanoi, Vietnam, e-mail: [email protected]
Yu Kawakami
Affiliation:
Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University, Kanazawa, 920-1192, Japan, e-mail: [email protected]
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Abstract

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The classical result of Nevanlinna states that two nonconstantmeromorphic functions on the complex plane having the same images for five distinct values must be identically equal to each other. In this paper, we give a similar uniqueness theorem for the Gauss maps of complete minimal surfaces in Euclidean four-space.

Keywords

53A1030D3553C42minimal surfaceGauss mapunicity theorem
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 2 , 01 June 2018 , pp. 292 - 300
Copyright
Copyright © Canadian Mathematical Society 2018

References

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