CMC Tori in the Generalised Berger Spheres and their Duals
(2022) In Bachelor's Theses in Mathematical Sciences MATK01 20231Mathematics (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:
http://lup.lub.lu.se/student-papers/record/9121944
- author
- Gegenfurtner, Johanna Marie
- supervisor
- organization
- course
- MATK01 20231
- year
- 2022
- 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}}, }