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Gangopadhyay, Ranadip, Tiwari, Bankteshwar. (1401). On a Bernstein-type theorem for minimal surfaces with Matsumoto metric. سامانه مدیریت نشریات علمی, 3(1), 16-30. doi: 10.22098/jfga.2021.9688.1056
Ranadip Gangopadhyay; Bankteshwar Tiwari. "On a Bernstein-type theorem for minimal surfaces with Matsumoto metric". سامانه مدیریت نشریات علمی, 3, 1, 1401, 16-30. doi: 10.22098/jfga.2021.9688.1056
Gangopadhyay, Ranadip, Tiwari, Bankteshwar. (1401). 'On a Bernstein-type theorem for minimal surfaces with Matsumoto metric', سامانه مدیریت نشریات علمی, 3(1), pp. 16-30. doi: 10.22098/jfga.2021.9688.1056
Gangopadhyay, Ranadip, Tiwari, Bankteshwar. On a Bernstein-type theorem for minimal surfaces with Matsumoto metric. سامانه مدیریت نشریات علمی, 1401; 3(1): 16-30. doi: 10.22098/jfga.2021.9688.1056

On a Bernstein-type theorem for minimal surfaces with Matsumoto metric

Journal of Finsler Geometry and its Applications
مقاله 2، دوره 3، شماره 1، مهر 2022، صفحه 16-30    اصل مقاله (117.26 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2021.9688.1056
نویسندگان
Ranadip Gangopadhyay* ؛ Bankteshwar Tiwari
DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi-221005, India
چکیده
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.
کلیدواژه‌ها
Finsler spaces؛ Matsumoto metric؛ minimal surfaces؛ graph of a function؛ surface of translation
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