Equivariant exponentially harmonic maps between manifolds with metrics of signatures

Abstract

Harmonic maps and exponentially harmonic maps are different. We study equivariant exponentially harmonic maps between warped product manifolds. We then investigate equivariant exponentially harmonic maps from manifolds with metrics of [Formula: see text]-signatures into manifolds with metrics of [Formula: see text]-signatures, obtain the reduction theorem, and provide a few examples.