A characterization of the Clifford torus

dc.contributor.author	Vlachos, T.	en
dc.date.accessioned	2015-11-24T17:22:43Z
dc.date.available	2015-11-24T17:22:43Z
dc.identifier.issn	0003-889X	-
dc.identifier.uri	https://olympias.lib.uoi.gr/jspui/handle/123456789/12651
dc.rights	Default Licence	-
dc.subject	4-dimensional space-forms	en
dc.subject	minimal-surfaces	en
dc.subject	constant curvature	en
dc.subject	ricci condition	en
dc.subject	sphere	en
dc.title	A characterization of the Clifford torus	en
heal.abstract	We provide a characterization of the Clifford torus via a Ricci type condition among minimal surfaces in S-4. More precisely, we prove that a compact minimal surface in S-4, with induced metric ds(2) and Gaussian curvature K, for which the metric d sigma(2) = (1 - K)1/m ds(2) is flat away from points where K = 1, is the Clifford torus, provided that m is an integer with m > 2.	en
heal.access	campus	-
heal.fullTextAvailability	TRUE	-
heal.identifier.primary	DOI 10.1007/s00013-005-1285-2	-
heal.identifier.secondary	<Go to ISI>://000231353500010	-
heal.identifier.secondary	http://link.springer.com/content/pdf/10.1007%2Fs00013-005-1285-2.pdf	-
heal.journalName	Archiv Der Mathematik	en
heal.journalType	peer reviewed	-
heal.language	en	-
heal.publicationDate	2005	-
heal.publisher	Springer Verlag (Germany)	en
heal.recordProvider	Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών	el
heal.type	journalArticle	-
heal.type.el	Άρθρο Περιοδικού	el
heal.type.en	Journal article	en

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