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Pinching theorems for teardrops and footballs of revolution

Published online by Cambridge University Press:  17 April 2009

Joseph E. Borzellino
Joseph E. Borzellino
Affiliation:
Department of MathematicsUniversity of CaliforniaDavis CA 95616United State of America
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We give explicit optimal curvature pinching constants for the Riemannian (p, q)- football orbifolds under the assumption that they are realised as surfaces of revolution in ℝ3. We show that sufficiently pinched sectional curvature assumptions imply that a (p, q)-football must be good.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 3 , June 1994 , pp. 353 - 364
Copyright
Copyright © Australian Mathematical Society 1994

References

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