On totally geodesic boundaries of hyperbolic $3$-manifolds
On totally geodesic boundaries of hyperbolic $3$-manifolds
By a hyperbolic manifold, we will mean a Riemannian manifold with constant sectional curvature —1. In this paper, we study complete oriented hyperbolic 3-manifolds each of which has a totally geodesic boundary. A totally geodesic boundary of such a 3-manifold becomes a hyperbolic surface. Let g be an integer greater …