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Andrei Dikarev, Ph.D.

Doctoral thesis

Holonomy groups of Weyl manifolds of Lorentzian signature

Holonomy groups of Weyl manifolds of Lorentzian signature
Abstract:
Tato disertační práce je věnována studiu holonomie Weylových variet v Lorentzově signatuře. Jsou uvedena fakta o grupách a algebrách holonomie a jejich klasifikacích pro Riemannovy a Lorentzovy variety. Algebry holonomie Weylových konexí v Lorentzově signatuře jsou klasifikovány. Zejména jsou konstruovány příklady Weylových konexí se všemi možnými algebrami holonomie. Byly nalezeny algebry holonomie …more
Abstract:
This thesis is dedicated to the study of the holonomy of Weyl manifolds in Lorentzian signature. Necessary background about holonomy groups and holonomy algebras and their classications for Riemannian and Lorentzian manifolds is provided. Holonomy algebras of Weyl connections in Lorentzian signature are classified. In particular, examples of Weyl connections with all possible holonomy algebras are …more
 

Keywords

Weyl connection Lorentzian signature holonomy group holonomy algebra Berger algebra weighted spinor parallel spinor Einstein-Weyl structure
 
Language used: English
Date on which the thesis was submitted / produced: 31. 1. 2022
Identifier: https://is.muni.cz/th/joca9/

Thesis defence

  • Date of defence: 5. 5. 2022
  • Supervisor: doc. Anton Galaev, Dr. rer. nat.
  • Reader: prof. Maciej Lukasz Dunajski, Ph.D., Prof. Dr. Ines Kath

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Institution archiving the thesis and making it accessible: Masarykova univerzita, Přírodovědecká fakulta
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Masaryk University

Faculty of Science

Doctoral programme / field:
Mathematics and Statistics / Geometry, Topology and Geometric Analysis

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