10 citations · 46 across the 24 of their papers we have counts for
25 papers
Singly periodic maximal graphs with isolated singularities in Lorentz-Minkowski 3-space
Peter Connor, Shoichi Fujimori
Utilizing the Weierstrass representation for embedded doubly periodic minimal surfaces with parallel ends, we construct entire singly periodic graphs of spacelike maximal surfaces…
Higher genus Angel surfaces
Rivu Bardhan, Indranil Biswas, Shoichi Fujimori +1
We prove the existence of complete minimal surfaces in of arbitrary genus and least total absolute curvature with precisely two ends -- one catenoidal…
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.
Higher genus nonorientable maximal surfaces in the Lorentz-Minkowski 3-space
Shoichi Fujimori, Shin Kaneda
We study nonorientable maximal surfaces in Lorentz-Minkowski 3-space. We prove some existence results for surfaces of this kind with high genus and one end.
Genus three embedded doubly periodic minimal surfaces with parallel ends
Peter Connor, Shoichi Fujimori, Phillip Marmorino +1
We construct a one-parameter family of embedded doubly periodic minimal surfaces of genus three with four parallel ends. The Weierstrass data for each surface of the family are giv…
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…