On the inner curvature of the second fundamental form of helicoidal surfaces
| dc.contributor.author | Baikoussis, C. | en |
| dc.contributor.author | Koufogiorgos, T. | en |
| dc.date.accessioned | 2015-11-24T17:26:45Z | |
| dc.date.available | 2015-11-24T17:26:45Z | |
| dc.identifier.issn | 0003-889X | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13249 | |
| dc.rights | Default Licence | - |
| dc.title | On the inner curvature of the second fundamental form of helicoidal surfaces | en |
| heal.abstract | Let M be a helicoidal surface in E(3), free of points of vanishing Gaussian curvature. Let H be the mean curvature and K-II the curvature of the second fundamental form. In this note it is shown that the helicoidal surfaces satisfying K-II = H are locally characterized by constancy of the ratio of the principal curvatures. Moreover it is proved that these helicoidal surfaces are determined by a first order differential equation. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | doi:10.1007/s000130050046 | - |
| heal.identifier.secondary | <Go to ISI>://A1997WL35300011 | - |
| heal.identifier.secondary | http://www.springerlink.com/content/03qaklnd61ehn0f2/fulltext.pdf | - |
| heal.journalName | Archiv Der Mathematik | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1997 | - |
| 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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