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CMC Tori in the Generalised Berger Spheres and their Duals

Gegenfurtner, Johanna Marie (2022) In Bachelor's Theses in Mathematical Sciences MATK01 20231
Mathematics (Faculty of Engineering)
Mathematics (Faculty of Sciences)
Centre for Mathematical Sciences
Abstract
The study of minimal surfaces has a long history, due to the important applications. Given a fixed boundary, one wants to minimise the surface area: this can be used, for example, to minimise the area of the roof of a building. Similarly, looking for constant mean curvature (CMC) provides us with many interesting applications in physics – one of the easiest examples are soap bubbles. In this work however we occupy ourselves with minimal and constant mean curvature surfaces in the three-dimensional sphere S^3 and its dual space Σ^3.
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Please use this url to cite or link to this publication:
author
Gegenfurtner, Johanna Marie
supervisor
organization
course
MATK01 20231
year
type
M2 - Bachelor Degree
subject
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUNFMA-4135-2022
ISSN
1654-6229
other publication id
2022:K8
language
English
id
9121944
alternative location
https://www.matematik.lu.se/matematiklu/personal/sigma/students/Johanna-Marie-Gegenfurtner-BSc.pdf
date added to LUP
2024-04-15 16:30:23
date last changed
2024-04-15 16:30:23
@misc{9121944,
  abstract     = {{The study of minimal surfaces has a long history, due to the important applications. Given a fixed boundary, one wants to minimise the surface area: this can be used, for example, to minimise the area of the roof of a building. Similarly, looking for constant mean curvature (CMC) provides us with many interesting applications in physics – one of the easiest examples are soap bubbles. In this work however we occupy ourselves with minimal and constant mean curvature surfaces in the three-dimensional sphere S^3 and its dual space Σ^3.
.}},
  author       = {{Gegenfurtner, Johanna Marie}},
  issn         = {{1654-6229}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Bachelor's Theses in Mathematical Sciences}},
  title        = {{CMC Tori in the Generalised Berger Spheres and their Duals}},
  year         = {{2022}},
}