Hypersurfaces and codazzi tensors
| dc.contributor.author | Hasanis, T. | en |
| dc.contributor.author | Vlachos, T. | en |
| dc.date.accessioned | 2015-11-24T17:24:37Z | |
| dc.date.available | 2015-11-24T17:24:37Z | |
| dc.identifier.issn | 0026-9255 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12924 | |
| dc.rights | Default Licence | - |
| dc.subject | hypersurface | en |
| dc.subject | codazzi tensor | en |
| dc.subject | euclidean space | en |
| dc.title | Hypersurfaces and codazzi tensors | en |
| heal.abstract | In this paper we deal with the following problem. Let (M-n <,>) be an n-dimensional Riemannian manifold and f : (M-n <,>) -> Rn+1 an isometric immersion. Find all Riemannian metrics on Mn that can be realized isometrically as immersed hypersurfaces in the Euclidean space Rn+1. More precisely, given another Riemannian metric (<,>) over tilde on M-n, find necessary and sufficient conditions such that the Riemannian manifold (M-n(<,>) over tilde) admits an isometric immersion (f) over tilde into the Euclidean space Rn+1. If such an isometric immersion exists, how can one describe (f) over tilde f in terms of f?. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1007/s00605-008-0528-2 | - |
| heal.identifier.secondary | <Go to ISI>://000255277800005 | - |
| heal.identifier.secondary | http://link.springer.com/content/pdf/10.1007%2Fs00605-008-0528-2.pdf | - |
| heal.journalName | Monatshefte Fur Mathematik | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2008 | - |
| 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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