The Monge�Ampère equation and warped products of higher rank

• Autores: Stefan Bechtluft-Sachs, Evangelia Samiou
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 83, Nº 1, 2007, págs. 11-16
• Idioma: inglés
• DOI: 10.1017/s1446788700036351
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• Resumen

  • 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.