Document Type

Article

Date

10-11-2011

Embargo Period

11-18-2011

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".

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/1110.2455

Source

Harvested from arXiv.org

Creative Commons License

Creative Commons Attribution 3.0 License
This work is licensed under a Creative Commons Attribution 3.0 License.

Included in

Mathematics Commons

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