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arxiv: 0710.5041 · v2 · pith:WX7J37BSnew · submitted 2007-10-26 · 🧮 math.DG

A Remark on Almost Umbilical Hypersurfaces

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keywords hypersurfacesresultsalmostumbilicalalmost-einsteinarticlecomparablededuce
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In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euclidean space, based on previous eigenvalue pinching results. Then, we deduce some comparable results for almost umbilical hypersurfaces.

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