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, Miran
Obravnavamo 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 - dissertation
Publication and manufacture - Madison : [M. Černe], 1994
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