In this work we classify the singularities obtained from the Gibbs potential of a lattice gas model with three components, two order parameters, and five control parameters applying the general theorems provided by catastrophe theory. In particular, we clearly establish the existence of Landau potentials in two variables or, in other words, corank-2 canonical forms that are associated with the ...

We find some properties of Ricci solitons with a semi-symmetric metric connection. When the potential vector field is torse-forming, we obtain characterizations. Applications to submanifolds are also given.