Pseudo-Riemannova geometrie a její aplikace v teorii relativity
| Thesis title in Czech: | Pseudo-Riemannova geometrie a její aplikace v teorii relativity |
|---|---|
| Thesis title in English: | Semi-Riemannian geometry and its applications to relativity |
| Key words: | Pseudo-Riemannova geometrie, speciální relativita, obecná relativita |
| English key words: | Semi-Riemannian geometry, Special relativity, General relativity. |
| Academic year of topic announcement: | 2010/2011 |
| Thesis type: | diploma thesis |
| Thesis language: | čeština |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | prof. RNDr. Oldřich Kowalski, DrSc. |
| Author: | hidden - assigned by the advisor |
| Date of registration: | 12.11.2010 |
| Date of assignment: | 12.11.2010 |
| Guidelines |
| Diplomant nastuduje cca 300 stran z knihy Barretta O´Neilla "Semi-Riemannian geometry with Applications to Relativity a vybrané partie z další literatury. Podá stručný výklad o nastudované látce a zejména pak vyřeší několik náročných úloh ze speciální a obecné teorie relativity. |
| References |
| 1) Barrett O´Neill "Semi-Riemannian geometry with Applications to Relativity, Academic Press, Inc.,1983.
2) J.K.Beem, P.E.Ehrlich, K.I.Easley, Global Lorentzian Geometry, Marcel dekker, Inc., 1996. 3) A. Das, The Special Theorey of Relativity: A Mathematical Exposition, Springer-Verlag, 1993. 4) G.L.Naber, The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity, Springer-Verlag, 1992. Literatura může být případně doplněna nebo pozměněna podle profilu uchazeče. |
| Preliminary scope of work |
| Vhodné pro zájemce o diferenciální geometrii a fyziku. |
| Preliminary scope of work in English |
| Suitable for the students interested in Differential geometry and Physics. |