Minimal Submanifolds of the Classical Compact Riemannian Symmetric Spaces

TL;DR

This thesis explores the construction of minimal submanifolds within classical compact Riemannian symmetric spaces by leveraging recent eigenfunction-based methods, highlighting their significance in differential geometry and physics.

Contribution

It introduces a novel approach to constructing minimal submanifolds in symmetric spaces using eigenfunctions, building on recent theoretical advancements.

Findings

Constructed new minimal submanifolds in symmetric spaces

Applied eigenfunction techniques to differential geometry problems

Enhanced understanding of minimal submanifold structures

Abstract

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 recent result of S. Gudmundsson and T.J. Munn to construct minimal submanifolds of the classical compact Riemannian symmetric spaces using eigenfunctions.