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Extension de métriques riemanniennes et type de croissance

Renata GrimaldiIgnazia 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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