The Monge-Ampère equation and warped products of higher rank

dc.contributor.author	Bechtluft-Sachs, S.	en
dc.contributor.author	Samiou, E.	en
dc.creator	Bechtluft-Sachs, S.	en
dc.creator	Samiou, E.	en
dc.date.accessioned	2019-12-02T10:33:52Z
dc.date.available	2019-12-02T10:33:52Z
dc.date.issued	2007
dc.identifier.issn	1446-7887
dc.identifier.uri	http://gnosis.library.ucy.ac.cy/handle/7/56485
dc.description.abstract	We show that a warped product Mf = ℝ × f ℝ 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. © 2007 Australian Mathematical Society.	en
dc.source	Journal of the Australian Mathematical Society	en
dc.source.uri	https://www.scopus.com/inward/record.uri?eid=2-s2.0-38349188205&partnerID=40&md5=bcb55d90dd6a0d32fe9c357a219cb4da
dc.title	The Monge-Ampère equation and warped products of higher rank	en
dc.type	info:eu-repo/semantics/article
dc.description.volume	83
dc.description.issue	1
dc.description.startingpage	11
dc.description.endingpage	15
dc.author.faculty	Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.department	Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtype	Article	en
dc.source.abbreviation	J.Aust.Math.Soc.	en
dc.contributor.orcid	Samiou, E. [0000-0002-7697-5176]
dc.gnosis.orcid	0000-0002-7697-5176

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