1 citations · 1 across the 5 of their papers we have counts for
5 papers
Complete Minimal Submanifolds of the Non-Compact Duals to the Classical Compact Lie Groups
Thomas Jack Munn
We construct new families of complete minimal submanifolds of codimension two in the non-compact duals to the classical compact Lie groups $\SOC n/\SO n$, $\SLC n/\SU n$ and $\SpC…
Harmonic Morphisms and Minimal Conformal Foliations on Lie Groups
Sigmundur Gudmundsson, Thomas Jack Munn
Let be a Lie group equipped with a left-invariant Riemannian metric. Let be a semisimple and normal subgroup of generating a left-invariant conformal foliation $\F$ of…
-eigenfunctions on compact manifolds
Thomas Jack Munn, Oskar Riedler
In this note we study -eigenfamilies on compact Riemannian manifolds when . We show that any compact manifold admitting a -eigenfunction is a mapping torus and…
Harmonic Morphisms on Lie groups and Minimal Conformal Foliations of Codimension two
Sigmundur Gudmundsson, Thomas Jack Munn
Let G be a Lie group equipped with a left-invariant semi-Riemannian metric. Let K be a semisimple subgroup of G generating a left-invariant conformal foliation F of codimension two…
Minimal Submanifolds via Complex-Valued Eigenfunctions
Sigmundur Gudmundsson, Thomas Jack Munn
In this work we introduce a new method for manufacturing minimal submanifolds in Riemannian geometry. For this we employ the so called complex-valued eigenfunctions. This is partic…