204 citations · 235 across the 18 of their papers we have counts for
18 papers
Surfaces with concentric or parallel -contours
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu
Surfaces with concentric -contours and parallel -contours in Euclidean -space are defined. Crucial examples are presented and characterization of them are given.
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…
Application of a unified Kenmotsu-type formula for surfaces in Euclidean or Lorentzian three-space
Masatoshi Kokubu
Kenmotsu's formula describes surfaces in Euclidean 3-space by their mean curvature functions and Gauss maps. In Lorentzian 3-space, Akutagawa-Nishikawa's formula and Magid's formul…
Quadrics and Scherk towers
Shoichi Fujimori, Udo Hertrich-Jeromin, Masatoshi Kokubu +2
We investigate the relation between quadrics and their Christoffel duals on the one hand, and certain zero mean curvature surfaces and their Gauss maps on the other hand. To study…
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…
Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3
The Jorge-Meeks -noid () is a complete minimal surface of genus zero with catenoidal ends in the Euclidean 3-space , which has -rotation sy…