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The Monge-Ampère equation and warped products of higher rank
Published online by Cambridge University Press: 09 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 2007