Akamine, Shintaro; Fujino, Hiroki Reflection principles for zero mean curvature surfaces in the simply isotropic 3-space. (English) Zbl 1497.53030 Result. Math. 77, No. 4, Paper No. 176, 13 p. (2022). MSC: 53A35 53A10 53B30 31A05 31A20 PDFBibTeX XMLCite \textit{S. Akamine} and \textit{H. Fujino}, Result. Math. 77, No. 4, Paper No. 176, 13 p. (2022; Zbl 1497.53030) Full Text: DOI arXiv
Akamine, S.; Honda, A.; Umehara, M.; Yamada, K. Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space. (English) Zbl 1461.53005 Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 175-181 (2021). MSC: 53A10 53C42 53B30 PDFBibTeX XMLCite \textit{S. Akamine} et al., Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 175--181 (2021; Zbl 1461.53005) Full Text: DOI arXiv
Akamine, S.; Umehara, M.; Yamada, K. Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality. (English) Zbl 1433.53017 Proc. Am. Math. Soc., Ser. B 7, 17-27 (2020). MSC: 53A35 53A10 35M10 PDFBibTeX XMLCite \textit{S. Akamine} et al., Proc. Am. Math. Soc., Ser. B 7, 17--27 (2020; Zbl 1433.53017) Full Text: DOI arXiv
Akamine, Shintaro; Umehara, Masaaki; Yamada, Kotaro Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space. (English) Zbl 1441.53005 Proc. Japan Acad., Ser. A 95, No. 9, 97-102 (2019). MSC: 53A10 53B30 35M10 PDFBibTeX XMLCite \textit{S. Akamine} et al., Proc. Japan Acad., Ser. A 95, No. 9, 97--102 (2019; Zbl 1441.53005) Full Text: DOI arXiv Euclid
Akamine, Shintaro; Singh, Rahul Kumar Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born-Infeld equation. (English) Zbl 1417.53010 Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 35, 18 p. (2019). MSC: 53A10 58J72 53B30 53C42 PDFBibTeX XMLCite \textit{S. Akamine} and \textit{R. K. Singh}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 35, 18 p. (2019; Zbl 1417.53010) Full Text: DOI arXiv
Akamine, Shintaro Causal characters of zero mean curvature surfaces of Riemann type in the Lorentz-Minkowski 3-space. (English) Zbl 1409.53010 Kyushu J. Math. 71, No. 2, 211-249 (2017). MSC: 53A10 53A35 53B30 PDFBibTeX XMLCite \textit{S. Akamine}, Kyushu J. Math. 71, No. 2, 211--249 (2017; Zbl 1409.53010) Full Text: DOI arXiv