Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set

Mingliang Cai

doi:10.1090/S0273-0979-1991-16038-6

Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set

Mingliang Cai

Mathematics

Research output: Contribution to journal › Comment/debate

15 Scopus citations

Abstract

We consider complete manifolds with Ricci curvature nonnegative outside a compact set and prove that the number of ends of such a manifold is finite and in particular, we give an explicit upper bound for the number.

Original language	English (US)
Pages (from-to)	371-377
Number of pages	7
Journal	Bulletin of the American Mathematical Society
Volume	24
Issue number	2
DOIs	https://doi.org/10.1090/S0273-0979-1991-16038-6
State	Published - Apr 1991

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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Cai, M. (1991). Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set. Bulletin of the American Mathematical Society, 24(2), 371-377. https://doi.org/10.1090/S0273-0979-1991-16038-6

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