English

On minimal surfaces immersed in three dimensional Kropina Minkowski space

Differential Geometry 2021-02-12 v1

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.

Keywords

Cite

@article{arxiv.2102.05834,
  title  = {On minimal surfaces immersed in three dimensional Kropina Minkowski space},
  author = {Ranadip Gangopadhyay and Ashok Kumar and Bankteshwar Tiwari},
  journal= {arXiv preprint arXiv:2102.05834},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2007.09439