arXiv:2409.04426 Abstract | arXiv Analytics

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On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds

Josef Mikes, Sergey Stepanov, Irina Tsyganok

Published 2024-09-06Version 1

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.

Categories: math.DG

Keywords: euclidean spaces, riemannian manifolds, paper establishes, totally geodesic submanifolds, stable minimal hypersurfaces

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arXiv:2409.04426 [math.DG]Abstract References Reviews Resources

On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds

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On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds

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arXiv:2409.04426 [math.DG]Abstract References Reviews Resources