Minimal surfaces in three-dimensional Matsumoto space
Differential Geometry
2020-07-21 v1
Abstract
In this paper we consider the Matsumoto metric , 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.
Keywords
Cite
@article{arxiv.2007.09439,
title = {Minimal surfaces in three-dimensional Matsumoto space},
author = {Ranadip Gangopadhyay and Bankteshwar Tiwari},
journal= {arXiv preprint arXiv:2007.09439},
year = {2020}
}