Solitons for the Symplectic Curvature flow

JORGE LAURET, CYNTHIA WILL

Hanover, NH

Workshop; WORKSHOP ON HOMOGENEOUS RICCI FLOW AND RICCI SOLITONS; 2014

Darmouth College

Introduced by Streets and Tian, the Symplectic curvature ow (SCF) is an evolution equation for almost-Khler manifolds. Lauret defines the notion of soliton or self-similar solution for this Flow. In this talk we will focus on the case of Lie groups, describing the classication of SCF- solitons on Lie algebras of dimension 4, where it is known the classication of Lie algebras that admits a symplectic structure. We will also discuss the case of Lie algebras that admits a one dimensional abelian ideal.