Local solvability for real-analytic involutive structures of tube type of corank one

This work is a continuation of [P.D. Cordaro, E.R. da Silva, Local solvability in corank one involutive real-analytic structures, Indiana Univ. Math. J. 53 (2004) 1605–1628]. We study the problem of local solvability, in degree one, for the differential complex associated to a real-analytic, involutive structure of tube type of corank one. In the present case we obtain more accurate results.