A volume comparison theorem and number of ends for manifolds with asymptotically nonnegative Ricci curvature

• Autores: Mahaman Bazanfaré
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 13, Nº 2, 2000, págs. 399-412
• Idioma: inglés
• DOI: 10.5209/rev_rema.2000.v13.n2.17082
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• Resumen

  • In this paper we establish a volume comparison theorem for cocentric metric balls at arbitrary point for manifolds with asymptotically nonnegative Ricci curvature, which will allow us to prove the finiteness of the number of ends.