The infinitesimal projective rigidity under Dehn filling

Details The infinitesimal projective rigidity under Dehn filling The infinitesimal projective rigidity under Dehn filling

2009-08-20

arxiv.org/abs/0908.2863v3

Mathematics

Geometric Topology

Accepted for publication at GT

Scientific paper

To a hyperbolic manifold one can associate a canonical projective structure and ask whether it can be deformed or not. In a cusped manifold, one can ask about the existence of deformations that are trivial on the boundary. We prove that if the canonical projective structure of a cusped manifold is infinitesimally projectively rigid relative to the boundary, then infinitely many Dehn fillings are projectively rigid. We analyze in more detail the figure eight knot and the Withehead link exteriors, for which we can give explicit infinite families of slopes with projectively rigid Dehn fillings.

Affiliated with

Also associated with

No associations

Rating

The infinitesimal projective rigidity under Dehn filling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The infinitesimal projective rigidity under Dehn filling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The infinitesimal projective rigidity under Dehn filling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-525967