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 employ a …

We study globally defined $(\lambda,\mu) $-eigenfamilies on compact Riemannian
manifolds. Among others, we provide (non-) existence results for such eigenfamilies …

The eigenfamilies of Gudmundsson and Sakovich can be used to generate harmonic
morphisms, proper $ r $-harmonic maps, and minimal co-dimension $2 $ submanifolds. This …

A new proof of a theorem that describes $(\lambda,\mu) $-eigenfunctions on sphere is
obtained. This proof is based on a statement that a function $ f $ is a $(\lambda,\mu) …

In this work we construct new multi-dimensional families of compact minimal submanifolds
of the classical Riemannian symmetric spaces S U ( n ) / SO ( n ) \documentclass[12pt]{minimal} …

In this note we study $(\lambda,\mu) $-eigenfamilies on compact Riemannian manifolds
when $\lambda=\mu $. We show that any compact manifold admitting a $(\lambda,\lambda) …

Let (M, g) be a Riemannian manifold, λ, µ∈ C. Then a complex-valued function ϕ∶ M→ C is
said to be a (λ, µ)-eigenfunction if it is eigen with respect to both the Laplace-Beltrami …