Abstract

We construct new examples of complete locally conformally flat manifolds of negative curvature by means of warped product and multiply warped product structures. Special attention is paid to those spaces with one-dimensional base, thus generalizing the Robertson–Walker spacetimes, and to those with higher-dimensional base of constant curvature.

Keywords

Locally conformally flat, warped product metric, Möbius equation, Obata equation

Mathematical Subject Classification

Primary: 53C15, 53C50

Authors