Projective metric realizations of cone-manifolds with singularitiesalong 2-bridge knots and links

摘要

Using projective metric geometry we develop a technique todescribe homogeneous 3-dimensional metrics on cone-manifolds generatedby two rotations. In particular, for some cone-manifolds with singularitiesalong 2-bridge knots and links we give explicit descriptions of all possible geometries (S3, SL2(R), and Nil).