Joseph Hoisington, University of Georgia

Title: Energy-minimizing mappings of rank-1 symmetric spaces

Abstract: We will prove sharp lower bounds for energy functionals of mappings of real, complex and quaternionic projective spaces to Riemannian manifolds, and we will characterize the mappings which minimize energy in these results. This leads to strong characterizations of many energy-minimizing mappings of Kahler manifolds biholomorphic to complex projective space.