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DC Field | Value | Language |
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dc.contributor.author | Vlachos, T. | en |
dc.date.accessioned | 2015-11-24T17:24:32Z | - |
dc.date.available | 2015-11-24T17:24:32Z | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12912 | - |
dc.rights | Default Licence | - |
dc.subject | ricci curvature | en |
dc.subject | length of the second fundamental form | en |
dc.subject | mean curvature | en |
dc.subject | homology groups | en |
dc.subject | integral currents | en |
dc.subject | sphere theorem | en |
dc.title | Homology vanishing theorems for submanifolds | en |
heal.type | journalArticle | - |
heal.type.en | Journal article | en |
heal.type.el | Άρθρο Περιοδικού | el |
heal.identifier.primary | Doi 10.1090/S0002-9939-07-08901-0 | - |
heal.identifier.secondary | <Go to ISI>://000246061500032 | - |
heal.identifier.secondary | http://www.ams.org/journals/proc/2007-135-08/S0002-9939-07-08901-0/S0002-9939-07-08901-0.pdf | - |
heal.language | en | - |
heal.access | campus | - |
heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
heal.publicationDate | 2007 | - |
heal.abstract | We 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.publisher | American Mathematical Society | en |
heal.journalName | Proceedings of the American Mathematical Society | en |
heal.journalType | peer reviewed | - |
heal.fullTextAvailability | TRUE | - |
Appears in Collections: | Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ |
Files in This Item:
File | Description | Size | Format | |
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Vlachos-2007-Homology vanishing t.pdf | 171.05 kB | Adobe PDF | View/Open Request a copy |
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