6 citations · 32 across the 15 of their papers we have counts for
17 papers
Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +4
We show that a certain simply-stated notion of "analytic completeness" of the image of a real analytic map implies the map admits no analytic extension. We also give a useful crite…
Heinz-type mean curvature estimates in Lorentz-Minkowski space
Atsufumi Honda, Yu Kawakami, Miyuki Koiso +1
We provide a unified description of Heinz-type mean curvature estimates under an assumption on the gradient bound for space-like graphs and time-like graphs in the Lorentz-Minkowsk…
Value distribution for the Gauss maps of various classes of surfaces
Yu Kawakami
We present in this article a survey of recent results in value distribution theory for the Gauss maps of several classes of immersed surfaces in space forms, for example, minimal s…
A note on a unicity theorem for the Gauss maps of complete minimal surfaces in Euclidean four-space
Pham Hoang Ha, Yu Kawakami
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…
Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space
Reiko Aiyama, Kazuo Akutagawa, Satoru Imagawa +1
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…
Zero mean curvature entire graphs of mixed type in Lorentz-Minkowski 3-space
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3
It is classically known that the only zero mean curvature entire graphs in the Euclidean 3-space are planes, by Bernstein's theorem. A surface in Lorentz-Minkowski 3-space $\boldsy…