Ivan Izmestiev
Examples of infinitesimally flexible 3--dimensional hyperbolic cone-manifolds.
Fri, 10/16/2009 - 17:25 — SomNambulAuthors: Ivan Izmestiev
Subjects: Geometric Topology
AbstractWeiss and, independently, Mazzeo and Montcouquiol recently proved that a
3--dimensional hyperbolic cone-manifold (possibly with vertices) with all cone
angles less than $2\pi$ is infinitesimally rigid. On the other hand, Casson
provided 1998 an example of an infinitesimally flexible cone-manifold with some
of the cone angles larger than $2\pi$.Examples of infinitesimally flexible 3--dimensional hyperbolic cone-manifolds.
Fri, 10/16/2009 - 17:25 — SomNambulAuthors: Ivan Izmestiev
Subjects: Geometric Topology
AbstractWeiss and, independently, Mazzeo and Montcouquiol recently proved that a
3--dimensional hyperbolic cone-manifold (possibly with vertices) with all cone
angles less than $2\pi$ is infinitesimally rigid. On the other hand, Casson
provided 1998 an example of an infinitesimally flexible cone-manifold with some
of the cone angles larger than $2\pi$.Gauss images of hyperbolic cusps with convex polyhedral boundary.
Mon, 08/17/2009 - 18:30 — SomNambulAuthors: François Fillastre, Ivan Izmestiev
Subjects: Differential Geometry
AbstractWe prove that a 3--dimensional hyperbolic cusp with convex polyhedral
boundary is uniquely determined by its Gauss image. Furthermore, any spherical
metric on the torus with cone singularities of negative curvature and all
closed contractible geodesics of length greater than $2\pi$ is the metric of
the Gauss image of some convex polyhedral cusp. This result is an analog of the
Rivin-Hodgson theorem characterizing compact convex hyperbolic polyhedra in
terms of their Gauss images.- Read more
- 5 comments
- login or register to post comments
User login
