DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, KT | - |
dc.contributor.author | Levenberg, N | - |
dc.contributor.author | Yamaguchi, H | - |
dc.date.accessioned | 2015-06-25T02:39:01Z | - |
dc.date.available | 2015-06-25T02:39:01Z | - |
dc.date.created | 2011-03-09 | - |
dc.date.issued | 2011-01 | - |
dc.identifier.issn | 0065-9266 | - |
dc.identifier.other | 2015-OAK-0000022812 | en_US |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/11369 | - |
dc.description.abstract | In a previous Memoirs of the AMS, vol. 92, #448, the last two authors analyzed the second variation of the Robin function -lambda(t) associated to a smooth variation of domains in C-n for n >= 2. There D = Ut is an element of B(t,D(t)) subset of B x C-n was a variation of domains D(t) in C-n each containing a fixed point z(0) and with partial derivative D(t) of class C-infinity for t is an element of B := {t is an element of C : vertical bar t vertical bar < rho}. For z is an element of <(D(t))over bar>, let g(t, z) be the R-2n-Green function for the domain D(t) with pole at z(0); then lambda(t) := lim(z -> z0)[g(t,z) - 1/parallel to z - z(0)parallel to(2n-2)]. In particular, if D is (strictly) pseudoconvex in B x C-n, it followed that -lambda(t) is (strictly) subharmonic in B. One could then study a Robin function Lambda(z) associated to a fixed pseudoconvex domain D subset of C-n with partial derivative D of class C-infinity and varying pole z is an element of D. The functions -Lambda(z) and log(-Lambda(z)) are real-analytic, strictly plurisubharmonic exhaustion functions for D. Part of the motivation and content of our efforts was the study of the Kiihler metric ds(2) = partial derivative partial derivative (log(-Lambda(z))). In the current work, we study a generalization of this second variation formula to complex manifolds M equipped with a Hermitian metric ds(2) and a smooth, non-negative function c. With this added flexibility, we study pseudoconvex domains D in a complex Lie group M as well as in an n-dimensional complex homogeneous space M equipped with a connected complex Lie group G of automorphisms of M. We characterize the smoothly bounded, relatively compact pseudoconvex domains D in a complex Lie group which are Stein, and we are able to give a criterion for a bounded, smoothly bounded, pseudoconvex domain D in a complex homogeneous space to be Stein. In particular, we describe concretely all the non-Stein pseudoconvex domains D in the complex torus of Grauert; we give a description of all the non-Stein pseudoconvex domains D in the special Hopf manifolds; and we give a description of all the non-Stein pseudoconvex domains D in the complex flag spaces. | - |
dc.description.statementofresponsibility | open | en_US |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.relation.isPartOf | MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.rights | BY_NC_ND | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.0/kr | en_US |
dc.title | Robin Functions for Complex Manifolds and Applications | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | en_US |
dc.identifier.doi | 10.1090/S0065-9266-10-00613-7 | - |
dc.author.google | Kim, KT | en_US |
dc.author.google | Levenberg, N | en_US |
dc.author.google | Yamaguchi, H | en_US |
dc.relation.volume | 209 | en_US |
dc.relation.issue | 984 | en_US |
dc.relation.startpage | 1 | en_US |
dc.relation.lastpage | + | en_US |
dc.contributor.id | 10053801 | en_US |
dc.relation.journal | MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | en_US |
dc.relation.index | SCI급, SCOPUS 등재논문 | en_US |
dc.relation.sci | SCI | en_US |
dc.collections.name | Journal Papers | en_US |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, v.209, no.984, pp.1 - + | - |
dc.identifier.wosid | 000286706000001 | - |
dc.date.tcdate | 2018-03-23 | - |
dc.citation.endPage | + | - |
dc.citation.number | 984 | - |
dc.citation.startPage | 1 | - |
dc.citation.title | MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 209 | - |
dc.contributor.affiliatedAuthor | Kim, KT | - |
dc.identifier.scopusid | 2-s2.0-84860601102 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | LEVI PROBLEM | - |
dc.subject.keywordPlus | PSEUDOCONVEX DOMAINS | - |
dc.subject.keywordPlus | SPACES | - |
dc.subject.keywordAuthor | Robin function | - |
dc.subject.keywordAuthor | variation formula | - |
dc.subject.keywordAuthor | pseudoconvex | - |
dc.subject.keywordAuthor | Stein | - |
dc.subject.keywordAuthor | complex Lie group | - |
dc.subject.keywordAuthor | complex homogeneous space | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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