https://neckpinch.com/authors/boris-vertman/New arXiv papers by Boris Vertman, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2412.02593/arxiv:2412.02593Tue, 03 Dec 2024 00:00:00 GMTJørgen Olsen Lye, Boris Vertman, Mannaim Gennaro Vitti — In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the arguments are in fact simpler than in the classical case. Moreover, we establish convergence for the case of negative scalar curvature and expect a similar statement for the positive and the flat cases as well.Yamabe flowScalar curvatureLong-time existence & convergence https://neckpinch.com/papers/2202.02424/arxiv:2202.02424Fri, 04 Feb 2022 00:00:00 GMTGiuseppe Gentile, Boris Vertman — In this paper we consider the prescribed mean curvature flow of a non-compact space-like Cauchy hypersurface of bounded geometry in a generalized Robertson-Walker space-time. We prove that the flow preserves the space-likeness condition and exists for infinite time. We also prove convergence in the setting of manifolds with boundary. Our discussion generalizes previous work by Ecker, Huisken, Gerhardt and others with respect to a crucial aspects: we consider any non-compact Cauchy hypersurface under the assumption of bounded geometry. Moreover, we specialize the aforementioned works by considering globally hyperbolic Lorentzian space-times equipped with a specific class of warped product metrics.Mean curvature flowSingularitiesBoundaries & non-compactRotational symmetry & warped productsPhysics