A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space
Pham Hoang Ha, Yu Kawakami
Canadian Mathematical Bulletin 61(2) 292-300 Jul 2018 [Refereed]
The classical result of Nevanlinna states that two nonconstant meromorphic 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 ...
Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space
S.Fujimori, Y.Kawakami, M.Kokubu, W.Rossman, M.Umehara, and K.Yamada
Osaka Journal of Mathematics 54(2) 249-272 Apr 2017 [Refereed]
Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space
R. Aiyama, K. Akutagawa, S. Imagawa, Y. Kawakami
Annali di Matematica Pura ed Applicata 196(5) 1863-1875 Jan 2017 [Refereed]
We perform a systematic study of the image of the Gauss map for complete minimal surfaces in Euclidean four-space. In particular, we give a geometric interpretation of the maximal number of exceptional values of the Gauss map of a complete orienta...
Value distribution for the Gauss maps of various classes of surfaces
Yu Kawakami
Sugaku 69(1) 56-69 Jan 2017 [Refereed][Invited]
Entire zero mean curvature graphs of mixed type in Lorentz-Minkowski 3-space
