Coarse extrinsic geometry: a survey

Details Coarse extrinsic geometry: a survey Coarse extrinsic geometry: a survey

1998-10-30

arxiv.org/abs/math/9810203v1

Geom. Topol. Monogr. 1 (1998), 341-364

Mathematics

Differential Geometry

24 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper17.abs.html

Scientific paper

This paper is a survey of some of the developments in coarse extrinsic geometry since its inception in the work of Gromov. Distortion, as measured by comparing the diameter of balls relative to different metrics, can be regarded as one of the simplist extrinsic notions. Results and examples concerning distorted subgroups, especially in the context of hyperbolic groups and symmetric spaces, are exposed. Other topics considered are quasiconvexity of subgroups; behaviour at infinity, or more precisely continuous extensions of embedding maps to Gromov boundaries in the context of hyperbolic groups acting by isometries on hyperbolic metric spaces; and distortion as measured using various other filling invariants.

Affiliated with

Also associated with

No associations

Rating

Coarse extrinsic geometry: a survey 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 Coarse extrinsic geometry: a survey, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coarse extrinsic geometry: a survey will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-82911