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arXiv · 2409.04426

On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds

Josef Mikes·Sergey Stepanov·Irina Tsyganok
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Abstract

This paper establishes the conditions under which minimal and stable minimal hypersurfaces are characterized as hyperplanes in Euclidean spaces and as totally geodesic submanifolds in Riemannian manifolds.

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Josef Mikes, Sergey Stepanov, Irina Tsyganok. 2024-09-06. On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds. https://arxiv.org/abs/2409.04426

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