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math.GT1998
Simple Closed Geodesics in Hyperbolic 3-Manifolds
Colin Adams, Joel Hass, Peter Scott
This paper determines which orientable hyperbolic 3-manifolds contain simple closed geodesics. The Fuchsian group corresponding to the thrice-punctured sphere generates the only ex…
math.GT1998
A Geometric Characteristic Splitting in all Dimensions
Bernhard Leeb, Peter Scott
We prove the existence of a geometric characteristic submanifold for non-positively curved manifolds of any dimension greater than or equal to three. In dimension three, our result…