Title

Pinching Theorems for Teardrops and Footballs of Revolution

Author Info

Joseph E. Borzellino, University of California - DavisFollow

Recommended Citation

Published in Bulletin of the Australian Mathematical Society, Volume 49, Issue 3, June 1, 1994, pages 353-364.

NOTE: At the time of publication, the author Joseph E. Borzellino was not yet affiliated with Cal Poly.

The definitive version is available at https://doi.org/10.1017/S0004972700016464.

Abstract

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 ³. We show that sufficiently pinched sectional curvature assumptions imply that a (p, q)-football must be good.

Disciplines

Mathematics

Copyright

1994 Cambridge University Press.