Harmonic currents of finite energy and laminations
dc.contributor.author | Fornæss, John Erik | en_US |
dc.contributor.author | Sibony, Nessim | en_US |
dc.date.accessioned | 2006-09-08T21:31:33Z | |
dc.date.available | 2006-09-08T21:31:33Z | |
dc.date.issued | 2005-10 | en_US |
dc.identifier.citation | Fornæss, J. E.; Sibony, N.; (2005). "Harmonic currents of finite energy and laminations." GAFA Geometric And Functional Analysis 15(5): 962-1003. <http://hdl.handle.net/2027.42/43516> | en_US |
dc.identifier.issn | 1016-443X | en_US |
dc.identifier.issn | 1420-8970 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/43516 | |
dc.description.abstract | We introduce a notion of energy for harmonic currents of bidegree (1, 1) on a complex Kähler manifold ( M , ω). This allows us to define for positive harmonic currents. We then show that for a lamination with singularities of a compact set in without directed positive closed currents, there is a unique positive harmonic current which minimizes energy. If X is a compact laminated set in of class it carries a unique positive harmonic current T of mass 1. The current T can be obtained by an Ahlfors type construction starting with an arbitrary leaf of X . When X has a totally disconnected set of singularities, contained in a countable union of analytic sets, the above construction still gives positive harmonic currents. | en_US |
dc.format.extent | 539235 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Birkhäuser-Verlag; Birkhäuser Verlag, Basel ; Springer Science+Business Media | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Analysis | en_US |
dc.title | Harmonic currents of finite energy and laminations | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Mathematics Department, The University of Michigan, East Hall, Ann Arbor, MI, 48109, USA | en_US |
dc.contributor.affiliationother | CNRS UMR8628, Mathematics Department, Université Paris-Sud, Batiment 425, Orsay Cedex, France | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/43516/1/39_2005_Article_0531.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s00039-005-0531-x | en_US |
dc.identifier.source | GAFA Geometric And Functional Analysis | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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