Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/7616
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Cheung, LF | - |
dc.creator | Leung, PF | - |
dc.date.accessioned | 2015-11-10T08:33:02Z | - |
dc.date.available | 2015-11-10T08:33:02Z | - |
dc.identifier.issn | 0004-9727 | - |
dc.identifier.issn | 1755-1633 (EISSN) | - |
dc.identifier.uri | http://hdl.handle.net/10397/7616 | - |
dc.language.iso | en | en_US |
dc.publisher | Cambridge University Press published for the Australian Mathematical Society | en_US |
dc.rights | Copyright © Australian Mathematical Society 1999. The journal web page is located at: http://journals.cambridge.org/action/displayJournal?jid=BAZ | en_US |
dc.title | The second variation formula for exponentially harmonic maps | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.description.otherinformation | Author name used in this publication: Leung-Fu Cheung | en_US |
dc.identifier.spage | 509 | - |
dc.identifier.epage | 514 | - |
dc.identifier.volume | 59 | - |
dc.identifier.issue | 3 | - |
dc.identifier.doi | 10.1017/S0004972700033207 | - |
dcterms.abstract | We derive the formula in the title and deduce some consequences. For example we show that the identity map from any compact manifold to itself is always stable as an exponentially harmonic map. This is in sharp contrast to the harmonic or p-harmonic cases where many such identity maps are unstable. We also prove that an isometric and totally geodesic immersion of S[sup m] into S[sup n] is an unstable exponentially harmonic map if m ≠ n and is a stable exponentially harmonic map if m = n. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Bulletin of the Australian Mathematical Society, June 1999, v. 59, no. 3, p. 509-514 | - |
dcterms.isPartOf | Bulletin of the Australian Mathematical Society | - |
dcterms.issued | 1999-06 | - |
dc.identifier.isi | WOS:000081262600019 | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
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Cheung_Second_Variation_Maps.pdf | 213.68 kB | Adobe PDF | View/Open |
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