On an Expansion of the Special Lagrangian Form

Dao Trong Thi and Nguyen Duy Binh

Abstract

        In this paper we present a class of k-forms on Cⁿ induced by k-forms on Rⁿ and investigate their comass and set of maximal directions. In particular, the set of maximal directions of the real part of powers of the complex symplectic form on Hⁿ is described completely.