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arxiv: 1301.3705 · v1 · pith:KWB262YMnew · submitted 2013-01-16 · 🧮 math.DG

Higher order mean curvature estimates for bounded complete hypersurfaces

classification 🧮 math.DG
keywords completeboundedestimateshigherhypersurfacesmeanorderambient
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We obtain sharp estimates involving the mean curvatures of higher order of a complete bounded hypersurface immersed in a complete Riemannian manifold. Similar results are also given for complete spacelike hypersurfaces in Lorentzian ambient spaces.

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