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Ricci curvature and ends of Riemannian orbifolds

Part of: Global differential geometry

Published online by Cambridge University Press:  26 February 2010

Liang-Khoon Koh
Liang-Khoon Koh
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 119260, Singapore. e-mail: matkohlk@nus.sg
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Abstract

We consider Riemannian orbifolds with Ricci curvature nonnegative outside a compact set and prove that the number of ends is finite. We also show that if that compact set is small then the Riemannian orbifolds have only two ends. A version of splitting theorem for orbifolds also follows as an easy consequence.

MSC classification

Secondary: 53C20: Global Riemannian geometry, including pinching
Type
Research Article
Information
Mathematika , Volume 45 , Issue 1 , June 1998 , pp. 135 - 144
Copyright
Copyright © University College London 1998

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References

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