As on arXiv
Abstract
In this paper, we study fully nonlinear curvature flows of noncompact spacelike hypersurfaces in Minkowski space. We prove that if the initial hypersurface satisfies certain conditions, then the flow exists for all time. Moreover, we show that after rescaling the flow converges to the future timelike hyperboloid, which is a self-expander.
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Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
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Entire curvature flow in Minkowski space
Topics Physics, Self-shrinkers & translators, Long-time existence & convergence · Same authors Zhizhang Wang, Ling Xiao · Shared terms “Minkowski space”, “hypersurface satisfies”, “noncompact spacelike”
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Entire self-expanders for power of curvature flow in Minkowski space
Topics Physics, Self-shrinkers & translators, Other curvature flows · Same authors Zhizhang Wang, Ling Xiao · Shared terms “Minkowski space”, “self expanders”, “flow converges”
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Inverse Hessian Curvature Flow in Minkowski Space II: The Dirichlet problem at infinity
Topics Physics, Self-shrinkers & translators, Long-time existence & convergence · Same author Zhizhang Wang · Shared terms “Minkowski space”, “spacelike”, “fully nonlinear”
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Translating solutions and the entire Hessian curvature flow in Minkowski space
Topics Physics, Self-shrinkers & translators, Long-time existence & convergence · Shared terms “Minkowski space”, “noncompact spacelike”, “spacelike hypersurface”
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Inverse Hessian Curvature Flow in Minkowski Space I: Cocompact Hypersurfaces
Topics Long-time existence & convergence, Other curvature flows · Same author Zhizhang Wang · Shared terms “Minkowski space”
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Second boundary value problem for the Hessian curvature flow
Topics Self-shrinkers & translators, Long-time existence & convergence, Boundaries & non-compact · Same author Zhizhang Wang
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Invariant -translators in Lorentz-Minkowski space
Topics Physics, Self-shrinkers & translators · Shared terms “Minkowski space”, “timelike”, “spacelike”
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Inverse Gauss curvature flow in a time cone of Lorentz-Minkowski space
Topics Physics, Long-time existence & convergence, Boundaries & non-compact · Shared terms “Minkowski space”, “spacelike”, “flow exists”
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