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Minimal Submanifolds of the Classical Compact Riemannian Symmetric Spaces

Gegenfurtner, Johanna Marie LU (2024) In Master’s Theses in Mathematical Sciences MATM03 20241
Mathematics (Faculty of Sciences)
Centre for Mathematical Sciences
Abstract
Minimal submanifolds constitute a central area within the realm of differential geometry, due to their many applications in various branches of physics. An illustrative example is found in the behavior of soap films, which in striving to balance pressure, naturally assume surfaces characterised by zero mean curvature.

In this thesis we will employ a recent result of S. Gudmundsson and T.J. Munn to construct minimal submanifolds of the classical compact Riemannian symmetric spaces using eigenfunctions. In some of those, we obtain families of compact minimal submanifolds.
Please use this url to cite or link to this publication:
author
Gegenfurtner, Johanna Marie LU
supervisor
organization
course
MATM03 20241
year
type
H2 - Master's Degree (Two Years)
subject
keywords
differential geometry, minimal submanifolds, symmetric spaces
publication/series
Master’s Theses in Mathematical Sciences
report number
LUNFMA-3150-2024
ISSN
1404-6342
other publication id
2024:E17
language
English
id
9157641
date added to LUP
2025-07-01 10:00:35
date last changed
2025-07-01 10:00:35
@misc{9157641,
  abstract     = {{Minimal submanifolds constitute a central area within the realm of differential geometry, due to their many applications in various branches of physics. An illustrative example is found in the behavior of soap films, which in striving to balance pressure, naturally assume surfaces characterised by zero mean curvature.

In this thesis we will employ a recent result of S. Gudmundsson and T.J. Munn to construct minimal submanifolds of the classical compact Riemannian symmetric spaces using eigenfunctions. In some of those, we obtain families of compact minimal submanifolds.}},
  author       = {{Gegenfurtner, Johanna Marie}},
  issn         = {{1404-6342}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Master’s Theses in Mathematical Sciences}},
  title        = {{Minimal Submanifolds of the Classical Compact Riemannian Symmetric Spaces}},
  year         = {{2024}},
}