In this paper we characterize a minimal surface with Matsumoto metric and prove a Bernstein-type theorem for surfaces which are graphs of smooth functions. We also obtain the partial differential equation that characterizes the minimal translation surfaces and show that plane is the only such surface.
Gangopadhyay, R., & Tiwari, B. (2022). On a Bernstein-type theorem for minimal surfaces with Matsumoto metric. Journal of Finsler Geometry and its Applications, 3(1), 16-30. doi: 10.22098/jfga.2021.9688.1056
MLA
Ranadip Gangopadhyay; Bankteshwar Tiwari. "On a Bernstein-type theorem for minimal surfaces with Matsumoto metric", Journal of Finsler Geometry and its Applications, 3, 1, 2022, 16-30. doi: 10.22098/jfga.2021.9688.1056
HARVARD
Gangopadhyay, R., Tiwari, B. (2022). 'On a Bernstein-type theorem for minimal surfaces with Matsumoto metric', Journal of Finsler Geometry and its Applications, 3(1), pp. 16-30. doi: 10.22098/jfga.2021.9688.1056
VANCOUVER
Gangopadhyay, R., Tiwari, B. On a Bernstein-type theorem for minimal surfaces with Matsumoto metric. Journal of Finsler Geometry and its Applications, 2022; 3(1): 16-30. doi: 10.22098/jfga.2021.9688.1056