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Convexity of level lines of maximal space-like hypersurfaces in Minkowski space

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Abstract

For the maximal space-like hypersurface defined on a convex ring in R2, we obtain the regularity and the strict convexity of its level lines by the continuity method, and the curvature estimate of the level lines is also derived.

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Authors and Affiliations

  1. School of Mathematical Sciences, Qufu Normal University, 273165, Qufu Shandong, China

    Peihe Wang & Jing Zhuang

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  1. Peihe Wang
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  2. Jing Zhuang
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Correspondence to Peihe Wang.

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Wang, P., Zhuang, J. Convexity of level lines of maximal space-like hypersurfaces in Minkowski space. Isr. J. Math. 226, 295–318 (2018). https://doi.org/10.1007/s11856-018-1695-z

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  • DOI: https://doi.org/10.1007/s11856-018-1695-z

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