Mathematics – Differential Geometry
Scientific paper
2011-10-11
Mathematics
Differential Geometry
23 pages
Scientific paper
In this paper we study the space of solutions to an overdetermined linear system involving the Hessian of functions. We show that if the solution space has dimension greater than one, then the underlying manifold has a very rigid warped product structure. This warped product structure will be used to study warped product Einstein structures in our paper "The space of virtual solutions to the warped product Einstein equation".
He Chenxu
Petersen Peter
Wylie William
No associations
LandOfFree
Warped product rigidity 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 Warped product rigidity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Warped product rigidity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-472475