Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature

Details Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature

2007-07-07

arxiv.org/abs/0707.1092v1

Mathematics

Analysis of PDEs

13 pages

Scientific paper

Existence and uniqueness in ${\Bbb R}^{n,1}$ of entire spacelike hypersurfaces contained in the future of the origin $O$ and asymptotic to the light-cone, with scalar curvature prescribed at their generic point $M$ as a negative function of the unit vector $\overrightarrow{Om}$ pointing in the direction of $\overrightarrow{OM}$, divided by the square of the norm of $\overrightarrow{OM}$ (a dilation invariant problem). The solutions are seeked as graphs over the future unit-hyperboloid emanating from $O$ (the hyperbolic space); radial upper and lower solutions are constructed which, relying on a previous result in the Cartesian setting, imply their existence.

Affiliated with

Also associated with

No associations

Rating

Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature 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 Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-702329