The search for solitons on homogeneous spaces

JORGE LAURET

Congreso; THE ABEL SYMPOSIUM 2019; 2019

The concept of soliton, in its most general version, allows us to nd canonicalor distinguished elements on any set provided with an equivalence relation and an `optimal'tangent direction at each point. We study in this paper solitons on homogeneousspaces, which are a quite useful tool to nd soliton geometric structures in Riemannian,pseudo-Riemannian, complex, symplectic and G2 geometries.