Prostorové formy
| Thesis title in Czech: | Prostorové formy |
|---|---|
| Thesis title in English: | Space forms |
| Key words: | Riemannovy variety, sekcionální křivost, Jakobiho pole, Killingova–Hopfova věta |
| English key words: | Riemannian manifolds, sectional curvature, Jacobi field, Killing–Hopf theorem. |
| Academic year of topic announcement: | 2017/2018 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | doc. RNDr. Svatopluk Krýsl, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 05.10.2017 |
| Date of assignment: | 05.10.2017 |
| Confirmed by Study dept. on: | 14.05.2018 |
| Date and time of defence: | 22.06.2018 09:00 |
| Date of electronic submission: | 17.05.2018 |
| Date of submission of printed version: | 18.05.2018 |
| Date of proceeded defence: | 22.06.2018 |
| Opponents: | doc. RNDr. Roman Lávička, Ph.D. |
| Guidelines |
| Student se seznámí se základy Riemannovy geometrie - variet a konexí, vlastnostmi křivosti těchto konexí.
Uvede důkaz jednoznačnosti a existence prostorových forem v některé z jeho variant (např. Riemanna nebo Killinga a Hopfa). |
| References |
| P. DoCarmo, Riemannian Geometry
S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, Vol. 1 A. Besse, Einstein Manifolds. |