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Naoya Suda

Publications and source records attributed to Naoya Suda.

2 recordsLinked to original sources
arXiv2026

Constant curvature rotational nets and periodic B\"acklund transforms

After giving explicit parametrizations of discrete constant negative Gaussian curvature surfaces (negative CGC, i.e. discrete pseudospherical surfaces) of revolution, we construct B\"acklund transformations that again will have explicit parametrizations and are new examples of non-rotational discrete pseudospherical surfaces. In the process of doing this, for discrete CGC circular nets, we can provide rotationally invariant families of flat connections and give conditions on them so that the B\"acklund transformations preserve periodicity, that is, have annular topology.

math.DG↗
arXiv2023

Ricci flow of discrete surfaces of revolution, and relation to constant Gaussian curvature

Giving explicit parametrizations of discrete constant Gaussian curvature surfaces of revolution that are defined from an integrable systems approach, we study Ricci flow for discrete surfaces, and see how discrete surfaces of revolution have a geometric realization for the Ricci flow that approaches the constant Gaussian curvature surfaces we have parametrized.

math.DG↗