Symmetries of the CR sub-Laplacian
| Thesis title in Czech: | Symetrie CR sub-Laplac |
|---|---|
| Thesis title in English: | Symmetries of the CR sub-Laplacian |
| Key words: | CR geometrie, CR sub-Laplace, symetrie diferenci´aln´?ho oper´atoru. |
| English key words: | CR geometry, CR sub-Laplacian, symmetries of differential operator. |
| Academic year of topic announcement: | 2006/2007 |
| Thesis type: | dissertation |
| Thesis language: | angličtina |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | prof. RNDr. Vladimír Souček, DrSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 01.10.2006 |
| Date of assignment: | 01.10.2006 |
| Date and time of defence: | 21.10.2010 11:00 |
| Date of electronic submission: | 11.10.2010 |
| Date of submission of printed version: | 05.09.2010 |
| Date of proceeded defence: | 21.10.2010 |
| Opponents: | prof. RNDr. Jan Slovák, DrSc. |
| doc. Mgr. Josef Šilhan, Ph.D. | |
| Guidelines |
| N/A |
| References |
| N/A |
| Preliminary scope of work |
| Cílem této práce je charakterizovat vektorový prostor symetrií CR sub-Laplaca. Za tím účelem zadefinujeme CR strukturu na jedné konkrétní podvarietě ?n+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. |
| Preliminary scope of work in English |
| The aim of this work is to characterize the vector space of symmetry
operators of the CR sub-Laplacian. To do this, we define a CR structure on some distinguished submanifold of ?n+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 construction, which we introduce in the sequel, we construct all of them. |