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math.DG2025
Hopf differentials and curvature line flows on time-like CMC surfaces
Naoya Ando, Masaaki Umehara
We investigate the relationship between the Hopf differentials and the curvature line flows on time-like constant mean curvature (CMC) surfaces in Lorentzian 3-space forms. In part…
math.DG2025
Examples of entire zero-mean curvature graphs of mixed-type in Lorentz-Minkowski space via Konderak's formulas
Takeki Komatsu, Masaaki Umehara
Using Konderak's representation formula, we construct an entire zero-mean curvature graph of mixed-type in Lorentz-Minkowski 3-space over a space-like plane, which does not belong…