Properly Convex Bending of Hyperbolic Manifolds
نویسنده
چکیده
In this paper we show that bending a finite volume hyperbolic d-manifold M along a totally geodesic hypersurface Σ results in a properly convex projective structure on M with finite volume. We also discuss various geometric properties of bent manifolds and algebraic properties of their fundamental groups. We then use this result to show in each dimension d Ê 3 there are examples finite volume, but non-compact, properly convex d-manifolds. Furthermore, we show that the examples can be chosen to be either strictly convex or non-strictly convex.
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