Lobachevské plochy
| Thesis title in Czech: | Lobachevské plochy |
|---|---|
| Thesis title in English: | Lobachevsky surfaces |
| Key words: | Lobachevsky geometry; Hilbert theorem; Boundaries, singularities and horizons; Geometric graphic tools; Infinitely many solutions |
| Academic year of topic announcement: | 2017/2018 |
| Thesis type: | project |
| Thesis language: | |
| Department: | Institute of Particle and Nuclear Physics (32-UCJF) |
| Supervisor: | prof. Alfredo Iorio, Ph.D. |
| Author: | hidden - assigned by the advisor |
| Date of registration: | 04.05.2018 |
| Date of assignment: | 04.05.2018 |
| Guidelines |
| The student needs to
- have a basic knowledge of elementary differential geometry - be willing to work towards classification of solutions and/or towards general solutions of mathematical problems Skills to plot with and manage Mathematica packages are welcome, but not necessary. |
| References |
| L.P.Eisenhart, A treatise on the differential geometry of curves and surfaces, Princeton Univ. Press (Princeton) 1909
M.Spivak, A comprehensive introduction to differential geoemtry, Vol. 3, Publish or Perish (Houston) 1999 R.Mc Lachlan, Math. Int. 16 (1994) 31 |
| Preliminary scope of work in English |
| There is one surface of positive constant curvature. That is the sphere. There are, instead, infinitely many surfaces of negative constant curvature. They are important for Mathematics and Physics. Some of them are known. The student will first familiarize with the general scenario. Then she/he will provide a comprehensive list of such surfaces. |