Please use this identifier to cite or link to this item: https://olympias.lib.uoi.gr/jspui/handle/123456789/12912
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dc.contributor.authorVlachos, T.en
dc.date.accessioned2015-11-24T17:24:32Z-
dc.date.available2015-11-24T17:24:32Z-
dc.identifier.issn0002-9939-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12912-
dc.rightsDefault Licence-
dc.subjectricci curvatureen
dc.subjectlength of the second fundamental formen
dc.subjectmean curvatureen
dc.subjecthomology groupsen
dc.subjectintegral currentsen
dc.subjectsphere theoremen
dc.titleHomology vanishing theorems for submanifoldsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDoi 10.1090/S0002-9939-07-08901-0-
heal.identifier.secondary<Go to ISI>://000246061500032-
heal.identifier.secondaryhttp://www.ams.org/journals/proc/2007-135-08/S0002-9939-07-08901-0/S0002-9939-07-08901-0.pdf-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2007-
heal.abstractWe relate intrinsic and extrinsic curvature invariants to the homology groups of submanifolds in space forms of nonnegative curvature. More precisely, we provide bounds for the squared length of the second fundamental form, or the Ricci curvature in terms of the mean curvature, which force homology to vanish in a range of intermediate dimensions. Moreover, we give examples which show that these conditions are sharp.en
heal.publisherAmerican Mathematical Societyen
heal.journalNameProceedings of the American Mathematical Societyen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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