3 papers
math.DG2018
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…
math.DG2007
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…
math.DG2004
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…