The Isoperimetric Problem In Randers Planes
Differential Geometry
2022-04-05 v1
Abstract
In this paper, the isoperimetric problem in Randers planes, , which are slight deformation of the Euclidean plane by suitable one forms , have been studied. We prove that the circles centred at the origin achieves the local maximum area of the isoperimetric problem with respect to well known volume forms in Finsler geometry.
Keywords
Cite
@article{arxiv.2204.00760,
title = {The Isoperimetric Problem In Randers Planes},
author = {Arti Sahu and Ranadip Gangopadhyay and Hemangi Madhusudan Shah and Bankteshwar Tiwari},
journal= {arXiv preprint arXiv:2204.00760},
year = {2022}
}