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Extension de métriques riemanniennes et type de croissance

Renata Grimaldi; Ignazia Maniscalco — 1998

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $M$ be a noncompact differentiable manifold and $V$ an open proper submanifold endowed with a complete Riemannian metric $g$ . We prove that $g$ can be extended all over $M$ to a complete Riemannian metric $G$ having the same growth-type as $g$ .

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