55 citations · 100 across the 39 of their papers we have counts for
44 papers
New Complex-Valued Harmonic Morphisms via Rational Exponents
Sigmundur Gudmundsson
The method of complex-valued eigenfamilies has been used to solve difficult non-linear problems in differential geometry. The purpose of this note is to generalise the construction…
Minimal Submanifolds of The Complex and Quaternionic Projective and Hyperbolic Spaces $\cn P^{2n-1}$, $\hn P^{2n-1}$, $\cn H^{2n-1}$, $\hn H^{2n-1}$ via Harmonic Morphisms
Sigmundur Gudmundsson
In this work we construct non-holomorphic, complete and minimal submanifolds of the odd-dimensional complex projective spaces $\cn P^{2n-1}$ and their dual complex hyperbolic space…
Complete minimal submanifolds of the non-compact Riemannian symmetric spaces SL_n(R)/SO(n), Sp(n,R)/U(n), SO*(2n)/U(n), SU*(2n)/Sp(n) via complex-valued eigenfunctions
Sigmundur Gudmundsson, Lucas Larsen
In this work we construct new multidimensional families of complete minimal submanifolds, of the classical non-compact Riemannian symmetric spaces SL_n(R)/SO(n), Sp(n,R)/U(n), SO*(…
New Minimal Surfaces of the Sphere and the Hyperbolic Space via Harmonic Morphisms
Sigmundur Gudmundsson, Leonard Nygren Löhndorf
In this work we introduce a new method for the construction of minimal submanifolds of codimension two in even dimensional spheres and hyperbolic spaces. This is based on the theor…
A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding
Sigmundur Gudmundsson, Adam Lindström
In this work we find a unifying scheme for the known explicit complex-valued eigenfunctions on the classical compact Riemannian symmetric spaces. For this we employ the well-known…
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…