Three-dimensional solvsolitons and the minimality of the corresponding submanifolds
Three-dimensional solvsolitons and the minimality of the corresponding submanifolds
In this paper, we define the corresponding submanifolds to left-invariant Riemannian metrics on Lie groups, and study the following question: does a distinguished left-invariant Riemannian metric on a Lie group correspond to a distinguished submanifold? As a result, we prove that the solvsolitons on three-dimensional simply-connected solvable Lie groups are …