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Published 2004 | Published
Journal Article Open

Hyperbolic cone-manifolds, short geodesics, and Schwarzian derivatives

Bromberg, K.

Abstract

Given a geometrically finite hyperbolic cone-manifold, with the cone-singularity sufficiently short, we construct a one-parameter family of cone-manifolds decreasing the cone-angle to zero. We also control the geometry of this one-parameter family via the Schwarzian derivative of the projective boundary and the length of closed geodesics.

Additional Information

© 2004 American Mathematical Society. Received by the editors December 10, 2002. Posted: July 21, 2004. Supported by a grant from the NSF.

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