International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 187232, 7 pages
doi:10.1155/2010/187232
Research Article

Heterogeneous Riemannian Manifolds

James J. Hebda

Department of Mathematics, Saint Louis University, St. Louis, MO 63103, USA

Received 6 July 2009; Accepted 23 March 2010

Academic Editor: Wolfgang Kuehnel

Copyright © 2010 James J. Hebda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We solve Ambrose's Problem for a generic class of Riemannian metrics on a smooth manifold, namely, the class of heterogeneous metrics.