New examples of manifolds with negative curvature
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–1, Tome 234 (1996), pp. 7-10
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This lecture is about the global structure of Riemannian manifolds with negative sectional curvature and finite volume. A fundamental question is to find and analyze geometric conditions which ensure that $M^n$ has finitely many ends or stronger that $M^n$ is of finite topological type.