https://neckpinch.com/authors/thomas-mullins/New arXiv papers by Thomas Mullins, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1610.05234/arxiv:1610.05234Mon, 17 Oct 2016 00:00:00 GMTThomas Mullins — We consider the warped product manifold, ℝ_+ ×_(bfId) Mⁿ, with Riemannian metric γ≡ d r² ⊕ r² σ, where (Mⁿ, σ) is a smooth closed Riemannian n-manifold. We investigate what sufficient curvature condition is required of σ to ensure that a solution to the inverse mean curvature flow - commencing with a star-shaped surface - exists for all times t>0.Mean curvature flowOther curvature flowsInverse mean curvature flowLong-time existence & convergenceRotational symmetry & warped products