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math.DG2023★ 4 cited
Periodic discrete Darboux transforms
Joseph Cho, Katrin Leschke, Yuta Ogata
We express Darboux transformations of discrete polarised curves as parallel sections of discrete connections in the quaternionic formalism. This immediately leads to the linearisat…
cond-mat.mtrl-sci2023★ 1 cited
A novel symmetry in nanocarbons: pre-constant discrete principal curvature structure
Yutaro Kabata, Shigeki Matsutani, Yusuke Noda +2
Since the first-principles calculations in quantum chemistry precisely provide possible configurations of carbon atoms in nanocarbons, we have analyzed the geometrical structure of…
math.DG2023
On discrete constant principal curvature surfaces
Y. Kabata, S. Matsutani, Y. Ogata
Recently, it is discovered that a certain class of nanocarbon materials has geometrical properties related to the discrete geometry, pre-constant discrete principal curvature [9] b…