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Analytic discs with boundaries in a generating CR-manifold : a thesis submitted in partial fulfillment of the requirements for the degree of Doctor of philosophy (mathematics)Černe, MiranObravnavamo problem perturbacije analitičnih diskov z robovi v CR-mnogoterosti. Globevnikov izrek o perturbaciji analitičnega diska vzdolž maksimalno realne mnogoterosti v ▫$\mathbb C^n$▫ posplošimo ... in uporabimo v raznih aplikacijah. (i) Dokažemo, da je vsak disk, ki minimizira energijski funkcional in ima svoj rob vsebovan v dani Lagrangejevi podmnogoterosti ▫$\mathbb C^n$▫, pri pogoju, da so njegovi parcialni indeksi večji ali enaki -1, holomorfen. (ii) Podan je nov dokaz in posplošitev rezultatov Panga in Kobayashija o ekstremalnih diskih. (iii) Obravnavamo perturbacije analitičnih množic z robovi v totalno realnih torusih. Globaliziramo tudi nekatere Baouendijeve, Rothschildove in Tepreaujeve rezultate o družini analitičnih diskov, ki so pritrjeni k CR-podmnogoterosti ▫$\mathbb C^n$▫ s pozitivno CR-dimenzijo.Type of material - dissertationPublication and manufacture - Madison : [M. Černe], 1994Language - englishCOBISS.SI-ID - 7189508
Author
Černe, Miran
Other authors
Forstnerič, Franc, 1958-
Topics
matematika |
kompleksna analiza |
stacionarni diski |
fibracija |
parcialni indeksi |
konormalni svežnji |
regularni diski |
polinomska ogrinjača |
analitični selektorji |
minimalni diski |
Lagrangejeva podmnogoterost |
CR-mnogoterost |
defekt |
mathematics |
complex analysis |
stationary discs |
fibration |
partial indices |
conormal discs |
regular discs |
polynomial hull |
analytic selections |
minimal discs |
Lagrange submanifold |
CR-manifold |
defect
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Černe, Miran | 08722 |
Forstnerič, Franc, 1958- | 09990 |
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