Aprameya Girish Hebbar

collaborators

3 papers

math.DG2026

Immortal Curve Shortening Flow on Analytic Surfaces

Aprameya Girish Hebbar, Guanhua Shao, Qi Sun

We show that on any closed orientable real-analytic Riemannian surface, any smoothly immersed closed immortal curve-shortening flow converges to a unique non-constant closed geodes…

math.DG2026

$κ$ -solutions with the round cylinder as an asymptotic shrinker

Aprameya Girish Hebbar

We show that $κ$ -solutions to the Ricci flow in dimensions $n \geq 4$ whose asymptotic shrinking Ricci soliton is the round cylinder $S^{n - 1} \times R$ must be unifo…

math.DG2026

Asymptotic Geometry of Four-Dimensional Steady Solitons

Aprameya Girish Hebbar, Natasa Sesum

In this paper we study the behavior of the scalar curvature at infinity on complete noncompact steady gradient Ricci solitons. In dimension four, we assume that the canonical Ricci…

Immortal Curve Shortening Flow on Analytic Surfaces

κ-solutions with the round cylinder as an asymptotic shrinker

Asymptotic Geometry of Four-Dimensional Steady Solitons

$κ$ -solutions with the round cylinder as an asymptotic shrinker