On minimal surfaces immersed in three dimensional Kropina Minkowski space

Abstract

In this paper we consider a three dimensional Kropina space and obtain the partial differential equation that characterizes a minimal surfaces with the induced metric. Using this characterization equation we study various immersions of minimal surfaces. In particular, we obtain the partial differential equation that characterizes the minimal translation surfaces and show that the plane is the only such surface.

arXiv admin note: text overlap with arXiv:2007.09439