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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Vlachos, T. | en |
| dc.date.accessioned | 2015-11-24T17:25:23Z | - |
| dc.date.available | 2015-11-24T17:25:23Z | - |
| dc.identifier.issn | 0025-2611 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13034 | - |
| dc.rights | Default Licence | - |
| dc.subject | immersions | en |
| dc.subject | equations | en |
| dc.subject | forms | en |
| dc.title | Minimal surfaces, Hopf differentials and the Ricci condition | en |
| heal.type | journalArticle | - |
| heal.type.en | Journal article | en |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.identifier.primary | DOI 10.1007/s00229-008-0174-y | - |
| heal.identifier.secondary | <Go to ISI>://000255868200005 | - |
| heal.identifier.secondary | http://link.springer.com/content/pdf/10.1007%2Fs00229-008-0174-y.pdf | - |
| heal.language | en | - |
| heal.access | campus | - |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.publicationDate | 2008 | - |
| heal.abstract | We deal with minimal surfaces in a sphere and investigate certain invariants of geometric significance, the Hopf differentials, which are defined in terms of the complex structure and the higher fundamental forms. We discuss the holomorphicity of Hopf differentials and provide a geometric interpretation for it in terms of the higher curvature ellipses. This motivates the study of a class of minimal surfaces, which we call exceptional. We show that exceptional minimal surfaces are related to Lawson's conjecture regarding the Ricci condition. Indeed, we prove that, under certain conditions, compact minimal surfaces in spheres which satisfy the Ricci condition are exceptional. Thus, under these conditions, the proof of Lawson's conjecture is reduced to its confirmation for exceptional minimal surfaces. In fact, we provide an affirmative answer to Lawson's conjecture for exceptional minimal surfaces in odd dimensional spheres or in S(4m). | en |
| heal.publisher | Springer Verlag (Germany) | en |
| heal.journalName | Manuscripta Mathematica | 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 | |
|---|---|---|---|---|
| Vlachos-2008-Minimal surfaces, Ho.pdf | 339.59 kB | Adobe PDF | View/Open Request a copy |
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