Geometric Analysis of Energy Minimizing Maps: Tangent Maps and
Singularities
Geometric Analysis of Energy Minimizing Maps: Tangent Maps and
Singularities
Energy minimizing maps (E.M.M.s) play a central role in the calculus of variations, partial differential equations (PDEs), and geometric analysis. These maps are often embedded into $C^\infty$ Riemannian manifolds to minimize the Dirichlet Energy functional under certain prescribed conditions. For understanding physical phenomena where systems naturally evolve to states of …