3 papers
math.AP2026
A nonlinear Li-Yau inequality and its consequences
Agnid Banerjee, Nicola Garofalo, Hamidreza Mahmoudian
We prove a sharp nonlinear version of the celebrated Li-Yau inequality for positive solutions of the normalized parabolic -Laplacian equation $u_t = Δu + (p-2)|\nabla u|^{-2}\na…
math.DG2023
Exponential Asymptotics of Ricci Flow Neckpinch
Hamidreza Mahmoudian
In this article we examine the formation of cylindrical neckpinch singularities in Ricci flow in compact manifolds. Rigorous examples of neckpinch sigularity for rotationally symme…
math.DG2023
Unique Asymptotics of Steady Ricci Solitons with Symmetry
Zilu Ma, Hamidreza Mahmoudian, Natasa Sesum
In this paper we study 4d gradient steady Ricci solitons, which are weak -solutions, and admit O(3)-symmetry. Under a weak curvature decay condition, we find precise geometric a…