Abstract

We show that the first betti number of a compact Riemannian orbifold with Ricci curvature and diameter is bounded above by a constant , depending only on dimension, curvature and diameter. In the case when the orbifold has nonnegative Ricci curvature, we show that the is bounded above by the dimension , and that if, in addition, , then is a flat torus .

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Mathematics

Publisher statement

This article was first published in Proceedings of the American Mathematical Society, published by the American Mathematical Society.

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URL: http://digitalcommons.calpoly.edu/math_fac/101