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Minimal hulls of compact sets in ▫$\mathbb R^3$▫Drinovec-Drnovšek, Barbara ; Forstnerič, Franc, 1958-Glavni rezultat tega članka je karakterizacija minimalne ogrinjače kompaktne množice ▫$K$▫ v ▫$\mathbb R^3$▫ z zaporedjem konformnih minimalnih diskov, katerih rob konvergira h ▫$K$▫ v smislu mere ... ter dvorazsežnih minimalnih potokov, ki so limite Greenovih potokov, katerih nosilci so konformni minimalni diski. Analogni rezultati so izpeljani za ničelne ogrinjače kompaktne podmnožice v ▫$\mathbb C^3$▫. Dokažemo še izrek o ničelnih ogrinjačah, ki je analogen Alexander-Stolzenberg- Wermerjevemu izreku za polinomske ogrinjače kompaktnih množic s končno linearno mero in varianto klasičnega Bochnerjevega izreka.Source: Transactions of the American Mathematical Society. - ISSN 0002-9947 (Vol. 368, no. 10, 2016, str. 7477-7506)Type of material - article, component part ; adult, seriousPublish date - 2016Language - englishCOBISS.SI-ID - 17543769
Author
Drinovec-Drnovšek, Barbara |
Forstnerič, Franc, 1958-
Topics
minimalne ploskve |
minimalne ogrinjače |
holomorfne ničelne krivulje |
ničelne ogrinjače |
plurisubharmonične funkcije |
polinomske ogrinjače |
pozitivni potoki |
minimal surfaces |
minimal hulls |
holomorphic null curves |
null hulls |
plurisubharmonic functions |
polynomial hulls |
positive currents
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Database name | Field | Year |
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Drinovec-Drnovšek, Barbara | 15126 |
Forstnerič, Franc, 1958- | 09990 |
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