Blow-up phenomena for scalar-flat metrics on manifolds with boundary

Details Blow-up phenomena for scalar-flat metrics on manifolds with boundary Blow-up phenomena for scalar-flat metrics on manifolds with boundary

2010-11-18

arxiv.org/abs/1011.4235v2

Journal of Differential Equations, 251(7), 1813-1840 (2011)

Mathematics

Differential Geometry

44 pages. Some typos corrected. This is a more detailed version of a paper accepted to Journal of Differential Equations

Scientific paper

10.1016/j.jde.2011.04.013

Let (M,g) be a compact n-dimensional Riemannian manifold with boundary. This article is concerned with the set of scalar-flat metrics on M which are in the conformal class of g and have the boundary as a constant mean curvature hypersurface. We construct examples of metrics on the unit ball, in dimensions n>=25, for which this set is noncompact. These manifolds have umbilic boundary, but they are not conformally equivalent to the unit ball.

Affiliated with

Also associated with

No associations

Rating

Blow-up phenomena for scalar-flat metrics on manifolds with boundary 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 Blow-up phenomena for scalar-flat metrics on manifolds with boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Blow-up phenomena for scalar-flat metrics on manifolds with boundary will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537083