Infinitesimal maximal symmetry and Ricci soliton solvmanifolds
Infinitesimal maximal symmetry and Ricci soliton solvmanifolds
This work addresses the questions: (i) Among all left-invariant Riemannian metrics on a given Lie group, is there any whose isometry group or isometry algebra contains that of all others? (ii) Do expanding left-invariant Ricci solitons exhibit such maximal symmetry? Question (i) is addressed both for semisimple and for solvable …