(Conformal) Killing spinor valued forms on Riemannian manifolds
| Thesis title in Czech: | (Konformní) Killingovy spinor hodnotové formy na Riemannovských varietách |
|---|---|
| Thesis title in English: | (Conformal) Killing spinor valued forms on Riemannian manifolds |
| Key words: | spinor-hodnotové formy, Killingovy rovnice, invariantní diferenciální operátory, metrický konus |
| English key words: | spinor-valued forms, Killing equations, invariant differential operators, metric cone |
| Academic year of topic announcement: | 2011/2012 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | doc. RNDr. Petr Somberg, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 15.03.2012 |
| Date of assignment: | 15.03.2012 |
| Confirmed by Study dept. on: | 07.08.2014 |
| Date and time of defence: | 09.09.2014 00:00 |
| Date of electronic submission: | 31.07.2014 |
| Date of submission of printed version: | 31.07.2014 |
| Date of proceeded defence: | 09.09.2014 |
| Opponents: | doc. RNDr. Svatopluk Krýsl, Ph.D. |
| Guidelines |
| Diplomant se seznami se zakladnimi technikami prodluzovani invariantnich
systemu differencialnich rovnic a pokusi se o jejich aplikaci v konformni a Riemannovske geometrii, konkretne v pripade Killingovych spinor-hodnotovych forem. Jedna z moznych variant smerovani diplomove prace je zalozena na vyuziti tzv. konstrukce konu, kdy specialni Killingovy spinor-hodnotove formy realizujeme jako paralelni spinor-hodnotove formy na metrickem konu nad puvodni konformni varietou. |
| References |
| Semmelmann - Conformal Killing forms on Riemannian manifolds,
H. Baum, T. Friedrich, R. Grunewald, I. Kath, Twistor and Killing Spinors on Riemannian Manifolds, Teubner-Texte zur Mathematik, Teubner 1991 |