9 citations · 19 across the 6 of their papers we have counts for
7 papers
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…
The Morse index of a triply periodic minimal surface
Norio Ejiri, Toshihiro Shoda
In the previous work, the first author established an algorithm to compute the Morse index and the nullity of an -periodic minimal surface in . In fact, the Morse…
Metrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian
Shin Nayatani, Toshihiro Shoda
In this paper, we settle in the affirmative the Jakobson-Levitin-Nadirashvili-Nigam-Polterovich conjecture, stating that a certain singular metric on the Bolza surface, with area n…
Minimal surfaces with two ends which have the least total absolute curvature
Shoichi Fujimori, Toshihiro Shoda
In this paper, we consider complete non-catenoidal minimal surfaces of finite total curvature with two ends. A family of such minimal surfaces with least total absolute curvature i…
On bifurcation and local rigidity of triply periodic minimal surfaces in
Miyuki Koiso, Paolo Piccione, Toshihiro Shoda
We use bifurcation theory to determine the existence of infinitely many new examples of triply periodic minimal surfaces in . These new examples form branches issuing…
Trigonal minimal surfaces in flat tori
Toshihiro Shoda
In this paper, we study trigonal minimal surfaces in flat tori. First, we show a topological obstruction similar to that of hyperelliptic minimal surfaces. Actually, the genus of t…
New components of the Moduli space of minimal surfaces in 4-dimensional flat tori
Toshihiro Shoda
In this paper, we consider new components of the key space of the Moduli space of minimal surfaces in flat 4-tori and calculate their dimensions. Moreover, we construct an example…