Original title: Symetrie CR sub-Laplac
Translated title: Symmetries of the CR sub-Laplacian
Authors: Vlasáková, Zuzana ; Souček, Vladimír (advisor) ; Slovák, Jan (referee) ; Šilhan, Josef (referee)
Document type: Doctoral theses
Year: 2010
Language: eng
Abstract: [eng] [cze]
Title: Symmetries of the CR sub-Laplacian Author: Zuzana Vlasáková Department: Charles University Institute of Mathematics Supervisor: Prof. RNDr. Vladimír Souček, DrSc. Author's e-mail address: zuzana.kasarova@email.cz Supervisor's e-mail address: soucek@karlin.mff.cuni.cz Abstract: The aim of this work is to characterize the vector space of symme- try operators of the CR sub-Laplacian. To do this, we define a CR structure on some distinguished submanifold of Cn+1 (it is in fact the big cell in the CR sphere) and write down the CR sub-Laplacian on it. We also define the symmetries of the CR sub-Laplacian in general and using the ambient con- struction, which we introduce in the sequel, we construct all of them. Keywords: CR geometry, CR sub-Laplacian, symmetries of differential op- erator. 1 Název: Symetrie CR sub-Laplaca Autor: Zuzana Vlasáková Katedra: Matematický ústav Univerzity Karlovy Vedoucí: Prof. RNDr. Vladimír Souček, DrSc. Autorova emailova adresa: zuzana.kasarova@email.cz Vedoucího emailova adresa:soucek@karlin.mff.cuni.cz Abstrakt: Cílem této práce je charakterizovat vektorový prostor symetrií CR sub-Laplaca. Za tím účelem zadefinujeme CR strukturu na jedné kon- krétní podvarietě Cn+1 (ve skutečnosti velké buňce v CR sféře) a napíšeme konkrétně, jak na ní vypadá CR sub-Laplace. Zadefinujeme obecně symetrie sub-Laplaca a použitím ambientní konstrukce je všechny zkonstruujeme. Klíčová slova: CR geometrie, CR sub-Laplace, symetrie diferenciálního operátoru. 1
Keywords: CR geometry; CR sub-Laplacian; symmetries of differential operator; CR geometrie; CR sub-Laplace; symetrie diferenci'aln'?ho oper'atoru

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/33250

Permalink: http://www.nusl.cz/ntk/nusl-469846


The record appears in these collections:
Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Doctoral theses