DC Field | Value | Language |
---|---|---|
dc.contributor.author | Oh, Yong-Geun | - |
dc.contributor.author | Wang, Rui | - |
dc.date.accessioned | 2019-04-07T15:56:44Z | - |
dc.date.available | 2019-04-07T15:56:44Z | - |
dc.date.created | 2018-10-29 | - |
dc.date.issued | 2018-10 | - |
dc.identifier.issn | 0030-6126 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/95525 | - |
dc.description.abstract | In the present article, we develop tensorial analysis for solutions w of the following nonlinear elliptic system (partial derivative) over bar (pi) w = 0, d(w* lambda o j) = 0, associated to a contact triad (M, lambda, J). The novel aspect of this approach is that we work directly with this elliptic system on the contact manifold without involving the symplectization process. In particular, when restricted to the case where the one-form w* lambda o j is exact, all a priori estimates for w-component can be written in terms of the map w itself without involving the coordinate from the symplectization. We establish a priori C-k coercive pointwise estimates for all k >= 2 in terms of the energy density parallel to dw parallel to(2) by means of tensorial calculations on the contact manifold itself. Further, for any solution w under the finite ir-energy assumption and the derivative bound, we also establish the asymptotic subsequence convergence to 'spiraling' instantons along the 'rotating' Reeb orbit. | - |
dc.language | English | - |
dc.publisher | OSAKA JOURNAL OF MATHEMATICS | - |
dc.relation.isPartOf | OSAKA JOURNAL OF MATHEMATICS | - |
dc.title | ANALYSIS OF CONTACT CAUCHY-RIEMANN MAPS I: A PRIORI C-k ESTIMATES AND ASYMPTOTIC CONVERGENCE | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | OSAKA JOURNAL OF MATHEMATICS, v.55, no.4, pp.647 - 679 | - |
dc.identifier.wosid | 000446841300004 | - |
dc.citation.endPage | 679 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 647 | - |
dc.citation.title | OSAKA JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 55 | - |
dc.contributor.affiliatedAuthor | Oh, Yong-Geun | - |
dc.identifier.scopusid | 2-s2.0-85055153584 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | WEINSTEIN CONJECTURE | - |
dc.subject.keywordPlus | CURVES | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
library@postech.ac.kr Tel: 054-279-2548
Copyrights © by 2017 Pohang University of Science ad Technology All right reserved.