Differential Geometry Working Seminar

Anton Iliashenko, Department of Pure Mathematics, University of Waterloo

"A special class of harmonic map submersions with calibrated fibres"

Say we have a conformally horizontal submersion between two Riemannian manifolds of dimensions n and k respectively. If the domain admits a closed (n-k)-calibration form, then we can define a special type of maps which we call conformally calibrated (or Smith) maps. We will show that these maps are k-harmonic and we will see a couple of examples.

MC 5403