3 papers
math.GT2026
Minima of geodeics length functions for non-uniform filling
Subash Chandra Behera, Shiv Parsad
Kerckhoff proved that the geodesic length function of a filling on attains a unique minimum in Teichmüller space. Recent work of Ernesto Girondo et al. comput…
math.GT2025
Some analogues of isoperimetric inequality
Subash Chandra Behera, Shiv Parsad
The discrete isoperimetric inequality states that among all n -gons with a fixed area, the regular n -gon has the least perimeter. We prove analogues of the discrete isoperimetric…
math.GT2025
Filling systems of maximum size
Rakesh Kumar, Shiv Parsad
Let be a closed orientable surface of genus . A collection of pairwise non-homotopic simple closed curves on such that and…