Index and nullity of a family of harmonic tori in the sphere

@article{Pacheco2012IndexAN,
title={Index and nullity of a family of harmonic tori in the sphere},
author={Rui Pacheco},
journal={arXiv: Differential Geometry},
year={2012}
}

Abstract This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal… Expand

We study the harmonic map equations for maps of a Riemann surface into a Riemannian symmetric space of compact type from the point of view of soliton theory. There is a well-known dressing action of… Expand

Much of the qualitative behaviour of the problem can be seen in embryo form in the simplest possible case: that of harmonic maps of a compact Riemann surface M into S. If M is the Riemann sphere, all… Expand

When a person thinks of algebra, they typically think of a process used to solve polynomial equations. Modern Number theory has evolved through several stages in the past two millennia. Notions of… Expand