2020/07/18 by Ranadip Gangopadhyay, Gangopadhyay, Ranadip, Bankteshwar Tiwari +1
Mathematics · Physics and Astronomy · #53B40 #53B50 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2007.09439
openalex publication_date 2020/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we consider the Matsumoto metric F=(α2)/(α-β), on the three dimensional real vector space and obtain the partial differential equations that characterize the minimal surfaces which are graphs of smooth functions and then we prove that plane is the only such surface. We also obtain the partial differential equation that characterizes the minimal translation surfaces and show that again plane is the only such surface.