Original title: Některá témata diferenciání a zobecněné geometrie s aplikacemi ve fyzice.
Translated title: Některá témata diferenciání a zobecněné geometrie s aplikacemi ve fyzice.
Authors: Červeň, Tomáš ; Jurčo, Branislav (advisor) ; Valach, Fridrich (referee)
Document type: Bachelor's theses
Year: 2021
Language: eng
Abstract: Differential geometry plays a prominent role in many areas of modern theoretical physics, ranging from electromagnetism and Yang-Mills to Einstein's general theory of relativity. It became a standard tool to investigate both the local and global properties of classical and quantum physical systems. Generalized geometry, as it emerged from string theory and has been first formulated mathematically by Hitchin and his students, proves to be a valuable tool for further study of quantum field theory and strings. We rigorously introduce all essential concepts of differential geometry, which are then crucial to build a basic framework of the generalized tangent bundle. 1
Keywords: Differential geometry|Generalized geometry|Generalized tangent bundle|Courant bracket|Courant algebroid; Diferenciálna geometria|Zobecnená geometria|Zobecnený dotyčnicový bundle|Courantova zátvorka|Courantov algeborid

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/172164

Permalink: http://www.nusl.cz/ntk/nusl-456768


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Bachelor's theses