• Corpus ID: 237213306

Inverse Gauss curvature flow in a time cone of Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$

@inproceedings{Gao2021InverseGC,
  title={Inverse Gauss curvature flow in a time cone of Lorentz-Minkowski space \$\mathbb\{R\}^\{n+1\}\_\{1\}\$},
  author={Ya Gao and Jing Mao},
  year={2021}
}
In this paper, we consider the evolution of spacelike graphic hypersurfaces defined over a convex piece of hyperbolic plane H (1), of center at origin and radius 1, in the (n + 1)-dimensional Lorentz-Minkowski space R 1 along the inverse Gauss curvature flow (i.e., the evolving speed equals the (−1/n)-th power of the Gaussian curvature) with the vanishing Neumann boundary condition, and prove that this flow exists for all the time. Moreover, we can show that, after suitable rescaling, the… 

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