Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth

Details Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth

2010-05-28

arxiv.org/abs/1005.5400v2

Mathematics

Spectral Theory

28 pages, 1 figure

Scientific paper

Suppose that $(X, g)$ is a conformally compact $(n+1)$-dimensional manifold
that is hyperbolic at infinity in the sense that outside of a compact set $K
\subset X$ the sectional curvatures of $g$ are identically equal to minus one.
We prove that the counting function for the resolvent resonances has maximal
order of growth $(n+1)$ generically for such manifolds.

Affiliated with

Also associated with

No associations

Rating

Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth 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 Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-85997