In this work we introduce a new method for manufacturing minimal submanifolds of
Riemannian manifolds of codimension two. For this we employ the so-called complex …

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 …

Given a symmetric triple $(G, K,\sigma) $ of compact type, with $ G^{\sigma}= K $, the well
known Cartan embedding $\hat {\Phi}: G/K\to G $ homothetically embeds the symmetric …

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

We construct harmonic Riemannian submersions that are retractions from symmetric spaces
of noncompact type onto their rank‐one totally geodesic subspaces. Among the …

Explicit p-harmonic functions on the real Grassmannians Skip to content Should you have
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We construct explicit complex-valued p-harmonic functions and harmonic morphisms on the
classical compact symmetric complex and quaternionic Grassmannians. The ingredients for …

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) …