https://neckpinch.com/authors/abimbola-abolarinwa/New arXiv papers by Abimbola Abolarinwa, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2404.15705/arxiv:2404.15705Wed, 24 Apr 2024 00:00:00 GMTYanlin Li, Abimbola Abolarinwa, Suraj Ghosh, Shyamal Kumar Hui — In this article we derive gradient estimation for positive solution of the equation \beginequation* (\partial_t-Δ_f)u = A(u)p(x,t) + B(u)q(x,t) + \mathcalG(u) \endequation* on a weighted Riemannian manifold evolving along the (k,m) super Perelman-Ricci flow \beginequation* \frac{\partial g}{\partial t}(x,t)+2Ric_f^m(g)(x,t)\ge -2kg(x,t). \endequation* As an application of gradient estimation we derive a Harnack type inequality along with a Liouville type theorem.Ricci flowHarnack inequalities https://neckpinch.com/papers/2310.11208/arxiv:2310.11208Tue, 17 Oct 2023 00:00:00 GMTAbimbola Abolarinwa, Shahroud Azami — This paper is devoted to the investigation of the monotonicity of parabolic frequency functional under conformal Ricci flow defined on a closed Riemannian manifold of constant scalar curvature and dimension not less than 3. Parabolic frequency functional for solutions of certain linear heat equation coupled with conformal pressure is defined and its monotonicity under the conformal Ricci flow is proved by applying Bakry-Emery Ricci curvature bounds. Some consequences of the monotonicity are also presented.Ricci flowScalar curvatureLimit spaces & RCD