Resumen de The Monge�Ampère equation and warped products of higher rank

Stefan Bechtluft-Sachs, Evangelia Samiou

• We show that a warped product Mf=nf has higher rank and nonpositive curvature if and only if f is a convex solution of the Monge�Ampère equation. In this case we show that M contains a Euclidean factor.