Geodesic
Hypersurfaces in $\mathbb R^n$ and critical points in their external region
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 1-9

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In this paper we study the hypersurfaces $M^n$ given as connected compact regular fibers of a differentiable map $f: \mathbb R^{n+1} \rightarrow \mathbb R$, in the cases in which $f$ has finitely many nondegenerate critical points in the unbounded component of $\mathbb R^{n+1} - M^n$.
Classification : 57R70, 57R80
Keywords: hypersurface in $\mathbb R^n$; nondegenerate critical point; noncompact Morse Theory; h-cobordism; Palais-Smale condition 
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     title = {Hypersurfaces in $\mathbb R^n$ and critical points in their external region},
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Manchón, P. M. G. Hypersurfaces in $\mathbb R^n$ and critical points in their external region. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 1-9. http://geodesic.mathdoc.fr/item/CMJ_2002__52_1_a0/