2000 character limit reached
The Isoperimetric Problem In Randers Planes (2204.00760v1)
Published 2 Apr 2022 in math.DG
Abstract: In this paper, the isoperimetric problem in Randers planes, $(\mathbb{R}2,F=\alpha +\beta)$, which are slight deformation of the Euclidean plane $(\mathbb{R}2,\alpha)$ by suitable one forms $\beta$, 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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.