The RICCI curvature of submanifolds and its applications

dc.contributor.authorVlachos, T.en
dc.date.accessioned2015-11-24T17:21:37Z
dc.date.available2015-11-24T17:21:37Z
dc.identifier.issn0033-5606-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12491
dc.rightsDefault Licence-
dc.subjectstable currentsen
dc.subjectminimal submanifoldsen
dc.subjectintegral currentsen
dc.titleThe RICCI curvature of submanifolds and its applicationsen
heal.abstractWe prove the non-existence of stable currents or compact stable minimal submanifolds for a class of submanifolds in a Euclidean space which satisfies an operative condition involving the Ricci curvature. In addition, we prove that these submanifolds are homeomorphic to the sphere. Moreover, we give examples which show that our result is optimal.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDoi 10.1093/Qmath/Hag045-
heal.identifier.secondary<Go to ISI>://000221219100007-
heal.identifier.secondaryhttp://qjmath.oxfordjournals.org/content/55/2/225.full.pdf-
heal.journalNameQuarterly Journal of Mathematicsen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2004-
heal.publisherOxford University Press (OUP)en
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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