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math.DG2022
Reflection principles for zero mean curvature surfaces in the simply isotropic 3-space
Shintaro Akamine, Hiroki Fujino
Zero mean curvature surfaces in the simply isotropic 3-space naturally appear as intermediate geometry between geometry of minimal surfaces in and tha…
math.DG2022
Null hypersurfaces as wave fronts in Lorentz-Minkowski space
Shintaro Akamine, Atsufumi Honda, Masaaki Umehara +1
In this paper, we show that ``-complete null hypersurfaces'' (i.e. ruled hypersurfaces foliated by entirety of light-like lines) as wave fronts in the -dimensional Lorent…