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…

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

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