Hölder Compactification for some manifolds with pinched negative curvature near infinity

Details Hölder Compactification for some manifolds with pinched negative curvature near infinity Hölder Compactification for some manifolds with pinched negative curvature near infinity

2006-01-20

arxiv.org/abs/math/0601503v1

Mathematics

Differential Geometry

27 pages, 1 figure

Scientific paper

We consider a complete noncompact Riemannian manifold M and give conditions on a compact submanifold K of M so that the outward normal exponential map off of the boundary of K is a diffeomorphism onto M\K. We use this to compactify M and show that pinched negative sectional curvature outside K implies M has a compactification with a well defined H\"older structure independent of K. The H\"older constant depends on the ratio of the curvature pinching. This extends and generalizes a 1985 result of Anderson and Schoen.

Affiliated with

Also associated with

No associations

Rating

Hölder Compactification for some manifolds with pinched negative curvature near infinity 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 Hölder Compactification for some manifolds with pinched negative curvature near infinity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hölder Compactification for some manifolds with pinched negative curvature near infinity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-9677