Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/178133| Title: | Kähler geometry |
| Author: | Porta Grau, Roger |
| Director/Tutor: | Lahoz Vilalta, Martí |
| Keywords: | Varietats de Kähler Treballs de fi de grau Connexions (Matemàtica) Geometria diferencial global Varietats simplèctiques Kählerian manifolds Bachelor's theses Connections (Mathematics) Global differential geometry Symplectic manifolds |
| Issue Date: | 21-Jun-2020 |
| Abstract: | [en] The main goal of this work is to provide an introductory dive into the subject of Complex Geometry by giving three different characterizations of Kähler manifolds and proving their equivalence. We define complex, Hermitian, Kähler and symplectic manifolds and we briefly study their properties. We present the Hodge conjecture and define the holonomy group. Finally, we present a brief glimpse into other types of spaces, namely Calabi-Yau and Hyperkähler manifolds. |
| Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Martí Lahoz Vilalta |
| URI: | http://hdl.handle.net/2445/178133 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 178133.pdf | Memòria | 671.72 kB | Adobe PDF | View/Open |
This item is licensed under a
Creative Commons License
