The covering spectrum of a compact length space

Details The covering spectrum of a compact length space The covering spectrum of a compact length space

2003-11-22

arxiv.org/abs/math/0311398v1

Journal of Differential Geometry 66 (2004) 647-689.

Mathematics

Differential Geometry

27 pages

Scientific paper

We define a new spectrum for compact length spaces and Riemannian manifolds called the "covering spectrum" which roughly measures the size of the one dimensional holes in the space. More specifically, the covering spectrum is a set of real numbers $\delta>0$ which identify the distinct $\delta$ covers of the space. We investigate the relationship between this covering spectrum, the length spectrum, the marked length spectrum and the Laplace spectrum. We analyze the behavior of the covering spectrum under Gromov-Hausdorff convergence and study its gap phenomenon.

Affiliated with

Also associated with

No associations

Rating

The covering spectrum of a compact length space 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 covering spectrum of a compact length space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The covering spectrum of a compact length space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120760