2 papers
math.DG2024
Symmetry and classification of solutions to an integral equation in the Heisenberg group
Jyotshana V. Prajapat, Anoop Skaria Varghese
In this paper we prove symmetry of nonnegative solutions of the integral equation \[ u (ζ) = \int\limits_{{\mathbb H}^n} |ζ^{-1} ξ|^{-(Q-α)} u(ξ)^{p} dξ\quad 1< p \leq \frac{Q+α}{Q…
math.DG2022
Geodetically convex sets in the Heisenberg group
Jyotshana V. Prajapat, Anoop Varghese
We classify the geodetically convex sets and geodetically convex functions on the Heisenberg group , .