BROWSE

Related Scientist

oh,yonggeun's photo.

oh,yonggeun
기하학수리물리연구단
more info

ITEM VIEW & DOWNLOAD

Analysis of Contact Cauchy-Riemann maps I: a priori Ck estimates and asymptotic convergence

DC Field Value Language
dc.contributor.authorYong-Geun Oh-
dc.contributor.authorRui Wang-
dc.date.available2019-01-30T02:00:45Z-
dc.date.created2018-12-31-
dc.date.issued2018-10-
dc.identifier.issn0030-6126-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/5424-
dc.description.abstractIn the present article, we develop tensorial analysis for solutions w of the following nonlinear elliptic system ∂ π w = 0, d(w ∗ λ ◦ j) = 0, associated to a contact triad (M, λ, 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∗λ◦ 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 Ck coercive pointwise estimates for all k ≥ 2 in terms of the energy density dw2 by means of tensorial calculations on the contact manifold itself. Further, for any solution w under the finite π-energy assumption and the derivative bound, we also establish the asymptotic subsequence convergence to ‘spiraling’ instantons along the ‘rotating’ Reeb orbit.-
dc.language영어-
dc.publisherOSAKA JOURNAL OF MATHEMATICS-
dc.titleAnalysis of Contact Cauchy-Riemann maps I: a priori Ck estimates and asymptotic convergence-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000446841300004-
dc.identifier.scopusid2-s2.0-85055153584-
dc.identifier.rimsid66551-
dc.contributor.affiliatedAuthorYong-Geun Oh-
dc.identifier.doi10.48550/arXiv.1212.5186-
dc.identifier.bibliographicCitationOSAKA JOURNAL OF MATHEMATICS, v.55, no.4, pp.647 - 679-
dc.relation.isPartOfOSAKA JOURNAL OF MATHEMATICS-
dc.citation.titleOSAKA JOURNAL OF MATHEMATICS-
dc.citation.volume55-
dc.citation.number4-
dc.citation.startPage647-
dc.citation.endPage679-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
2018_YGO_Analysis of contact cauchy-riemann maps 1 a priori Ck estimates and asymptotic convergence.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse