Johanna Marie Gegenfurtner

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20222026

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math.DG2024

Minimal Submanifolds of the Classical Compact Riemannian Symmetric Spaces

Johanna Marie Gegenfurtner

Minimal submanifolds constitute a central area within the realm of differential geometry, due to their many applications in various branches of physics. In this thesis we will empl…

math.DG2024

Compact minimal submanifolds of the Riemannian symmetric spaces $S U (n) / S O (n)$ , $S p (n) / U (n)$ , $S O (2 n) / U (n)$ , $S U (2 n) / S p (n)$ via complex-valued eigenfunctions

Johanna Marie Gegenfurtner, Sigmundur Gudmundsson

In this work we construct new multi-dimensional families of compact minimal submanifolds, of the classical Riemannian symmetric spaces $S U (n) / S O (n)$ , $S p (n) / U (n)$ , $S O (2 n) / U (n)$ an…

math.DG2022

CMC Tori in the Generalised Berger Spheres and their Duals

Johanna Marie Gegenfurtner

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,…

Minimal Submanifolds of the Classical Compact Riemannian Symmetric Spaces

Compact minimal submanifolds of the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n) via complex-valued eigenfunctions

CMC Tori in the Generalised Berger Spheres and their Duals

Compact minimal submanifolds of the Riemannian symmetric spaces $S U (n) / S O (n)$ , $S p (n) / U (n)$ , $S O (2 n) / U (n)$ , $S U (2 n) / S p (n)$ via complex-valued eigenfunctions