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$%B. Mahaman, A volume comparison theorem and number of ends for manifolds with asymptotically nonnegative Ricci curvature, Rev. Mat. Complut. 13 (2000), no. 2, 399409.%$

A Volume Comparison Theorem and Number of Ends for Manifolds with Asymptotically Nonnegative Ricci Curvature
Bazanfaré MAHAMAN
Faculté des Sciences
Niamey — Niger

Received: November 2, 1998
Revised: May 10, 1999

ABSTRACT

In this paper we establish a volume comparison theorem for concentric 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.

1991 Mathematics Subject Classification: 53C20.