https://neckpinch.com/authors/cheikh-birahim-ndiaye/New arXiv papers by Cheikh Birahim Ndiaye, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2601.22934/arxiv:2601.22934Fri, 30 Jan 2026 00:00:00 GMTPak Tung Ho, Cheikh Birahim Ndiaye, Liming Sun, Heming Wang — In this paper, we study the prescribed T-curvature problem on the unit ball B⁴ of ℝ ⁴ via the T-curvature flow approach. By combining Ache-Chang's inequality with the Morse-theoretic approach of Malchiodi-Struwe, we establish existence results under strong Morse-type inequalities at infinity. As a byproduct of our argument, we also prove the exponential convergence of the T-curvature flow on B⁴, starting from a Q-flat and minimal metric conformal to the standard Euclidean metric, to an extremal metric of Ache-Chang's inequality whose explicit expression was derived by Ndiaye-Sun.Other curvature flows4-manifoldsLong-time existence & convergenceKähler–Einstein & K-stability