Matches in SemOpenAlex for { <https://semopenalex.org/work/W2065890193> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2065890193 endingPage "872" @default.
- W2065890193 startingPage "855" @default.
- W2065890193 abstract "A subbundle of a Hermitian holomorphic vector bundle (E, h) can be metrically and differentially defined by the orthogonal projection onto itself. A weakly holomorphic subbundle of (E, h) is, by definition, an orthogonal projection π lying in the Sobolev space L21 of L2 sections of End E with L2 first order derivatives in the sense of distributions, which satisfies furthermore (Id−π)∘D′′π=0. A weakly holomorphic subbundle of (E, h) is shown to define a coherent subsheaf of (E), and implicitly a holomorphic subbundle of E in the complement of an analytic subset of codimension ≥2. This result provided the key technical argument to the proof given by Uhlenbeck and Yau for the Kobayashi-Hitchin correspondence on compact Kähler manifolds. We give here a much simpler proof based on current theory. The idea is to construct local meromorphic sections of Im π which locally span the fibers. We first make this construction on one-dimensional submanifolds of X and subsequently extend it by means of a Hartogs-type theorem of Shiffman’s." @default.
- W2065890193 created "2016-06-24" @default.
- W2065890193 creator A5028699377 @default.
- W2065890193 date "2005-04-15" @default.
- W2065890193 modified "2023-10-16" @default.
- W2065890193 title "A simple proof of a theorem by Uhlenbeck and Yau" @default.
- W2065890193 cites W116259974 @default.
- W2065890193 cites W1480730048 @default.
- W2065890193 cites W1586859153 @default.
- W2065890193 cites W1997150457 @default.
- W2065890193 cites W2012078827 @default.
- W2065890193 cites W2034958095 @default.
- W2065890193 doi "https://doi.org/10.1007/s00209-005-0780-2" @default.
- W2065890193 hasPublicationYear "2005" @default.
- W2065890193 type Work @default.
- W2065890193 sameAs 2065890193 @default.
- W2065890193 citedByCount "16" @default.
- W2065890193 countsByYear W20658901932012 @default.
- W2065890193 countsByYear W20658901932016 @default.
- W2065890193 countsByYear W20658901932017 @default.
- W2065890193 countsByYear W20658901932019 @default.
- W2065890193 countsByYear W20658901932021 @default.
- W2065890193 countsByYear W20658901932023 @default.
- W2065890193 crossrefType "journal-article" @default.
- W2065890193 hasAuthorship W2065890193A5028699377 @default.
- W2065890193 hasBestOaLocation W20658901934 @default.
- W2065890193 hasConcept C11413529 @default.
- W2065890193 hasConcept C134306372 @default.
- W2065890193 hasConcept C190333341 @default.
- W2065890193 hasConcept C202444582 @default.
- W2065890193 hasConcept C204575570 @default.
- W2065890193 hasConcept C33923547 @default.
- W2065890193 hasConcept C57493831 @default.
- W2065890193 hasConcept C95857938 @default.
- W2065890193 hasConceptScore W2065890193C11413529 @default.
- W2065890193 hasConceptScore W2065890193C134306372 @default.
- W2065890193 hasConceptScore W2065890193C190333341 @default.
- W2065890193 hasConceptScore W2065890193C202444582 @default.
- W2065890193 hasConceptScore W2065890193C204575570 @default.
- W2065890193 hasConceptScore W2065890193C33923547 @default.
- W2065890193 hasConceptScore W2065890193C57493831 @default.
- W2065890193 hasConceptScore W2065890193C95857938 @default.
- W2065890193 hasIssue "4" @default.
- W2065890193 hasLocation W20658901931 @default.
- W2065890193 hasLocation W20658901932 @default.
- W2065890193 hasLocation W20658901933 @default.
- W2065890193 hasLocation W20658901934 @default.
- W2065890193 hasLocation W20658901935 @default.
- W2065890193 hasOpenAccess W2065890193 @default.
- W2065890193 hasPrimaryLocation W20658901931 @default.
- W2065890193 hasRelatedWork W104421348 @default.
- W2065890193 hasRelatedWork W1483939023 @default.
- W2065890193 hasRelatedWork W1638832931 @default.
- W2065890193 hasRelatedWork W2112841870 @default.
- W2065890193 hasRelatedWork W2162556341 @default.
- W2065890193 hasRelatedWork W2353164941 @default.
- W2065890193 hasRelatedWork W2949390287 @default.
- W2065890193 hasRelatedWork W2953304843 @default.
- W2065890193 hasRelatedWork W2963885105 @default.
- W2065890193 hasRelatedWork W3041313478 @default.
- W2065890193 hasVolume "250" @default.
- W2065890193 isParatext "false" @default.
- W2065890193 isRetracted "false" @default.
- W2065890193 magId "2065890193" @default.
- W2065890193 workType "article" @default.