Abstract
In this paper we study the hypersurfaces \(M^n \) given as connected compact regular fibers of a differentiable map \(f:\mathbb{R}^{n + 1} \to \mathbb{R}\), in the cases in which \(f\) has finitely many nondegenerate critical points in the unbounded component of \(\mathbb{R}^{n + 1} - M^n \).
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Manchón, P.M.G. Hypersurfaces in ℝn and critical points in their external region. Czechoslovak Mathematical Journal 52, 1–9 (2002). https://doi.org/10.1023/A:1021707017802
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DOI: https://doi.org/10.1023/A:1021707017802