A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space
Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 292-300
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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.
Mots-clés :
53A10, 30D35, 53C42, minimal surface, Gauss map, unicity theorem
Ha, Pham Hoang; Kawakami, Yu. A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space. Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 292-300. doi: 10.4153/CMB-2017-015-0
@article{10_4153_CMB_2017_015_0,
author = {Ha, Pham Hoang and Kawakami, Yu},
title = {A {Note} on a {Unicity} {Theorem} for the {Gauss} {Maps} of {Complete} {Minimal} {Surfaces} in {Euclidean} {Four-space}},
journal = {Canadian mathematical bulletin},
pages = {292--300},
year = {2018},
volume = {61},
number = {2},
doi = {10.4153/CMB-2017-015-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-015-0/}
}
TY - JOUR AU - Ha, Pham Hoang AU - Kawakami, Yu TI - A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space JO - Canadian mathematical bulletin PY - 2018 SP - 292 EP - 300 VL - 61 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-015-0/ DO - 10.4153/CMB-2017-015-0 ID - 10_4153_CMB_2017_015_0 ER -
%0 Journal Article %A Ha, Pham Hoang %A Kawakami, Yu %T A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space %J Canadian mathematical bulletin %D 2018 %P 292-300 %V 61 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-015-0/ %R 10.4153/CMB-2017-015-0 %F 10_4153_CMB_2017_015_0
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