Title
Document Type
Article
Date
10-11-2011
Disciplines
Mathematics
Description/Abstract
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".
Recommended Citation
He, Chenxu; Petersen, Peter; and Wylie, William, "Warped Product Rigidity" (2011). Mathematics - All Scholarship. 132.
https://surface.syr.edu/mat/132
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/1110.2455