Lobachevské plochy
| Název práce v češtině: | Lobachevské plochy |
|---|---|
| Název v anglickém jazyce: | Lobachevsky surfaces |
| Klíčová slova: | Lobachevsky geometry; Hilbert theorem; Boundaries, singularities and horizons; Geometric graphic tools; Infinitely many solutions |
| Akademický rok vypsání: | 2017/2018 |
| Typ práce: | projekt |
| Jazyk práce: | |
| Ústav: | Ústav částicové a jaderné fyziky (32-UCJF) |
| Vedoucí / školitel: | prof. Alfredo Iorio, Ph.D. |
| Řešitel: | skrytý - zadáno vedoucím/školitelem |
| Datum přihlášení: | 04.05.2018 |
| Datum zadání: | 04.05.2018 |
| Zásady pro vypracování |
| 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. |
| Seznam odborné literatury |
| 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 |
| Předběžná náplň práce v anglickém jazyce |
| 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. |