Ambient and intrinsic triangulations and topological methods in cosmology

Wintraecken, M. 2015 [Groningen]: University of Groningen. 332 p.

Research output: ScientificDoctoral Thesis

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  • Mathijs Wintraecken
The thesis consist of two parts, one part concerns triangulations the other the structure of the universe.
Images in films such as Shrek or Frozen and in computer games are often made using small triangles. Subdividing a figure (such as Shrek) into small triangles is called triangulating. This may be done in two different ways.
The first method makes use of straight triangles and is used most often. Because computer power is limited, we want to use as few triangles as possible, while maintaining the quality of the image. This means that one has to choose the triangles in a clever manner. Much is known about the choice of triangles if the surface is convex (egg-shaped). This thesis contributes to our understanding of non-convex surfaces.
The second and new method uses curved triangles that follow the surface. The triangles we use are determined by the intrinsic geometry of the surface and are called intrinsic triangles.
Shortly after the Big Bang the universe was very hot and dense. Quantum mechanical effects introduced structure into the matter distribution in the early universe. The universe expanded according the laws of General Relativity and the matter cooled down.
After the matter in the universe had cooled down, clusters of galaxies formed out of the densest regions. These clusters of galaxies are connected by stringy structures consisting of galaxies. This thesis contributes to the understanding of this intricate structure.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
Award date4-Sep-2015
Place of Publication[Groningen]
Print ISBNs978-90-367-7972-2
Electronic ISBNs978-90-367-7971-5
StatePublished - 2015

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