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JP Journal of Geometry and Topology

Abstract:
On the basis of a recent paper I-N [5] (General procedure - neutral version -) of a series of papers, we study two kinds of almost neutral Hermitian structures on a nilpotent Lie group

(a nilmanifold). It is shown that

admits two kinds of almost neutral Kähler structures (double neutral almost Kähler structures), which cannot be double neutral Kähler. Moreover,

admits a double isotropic Kähler structure.

Keywords and phrases: nilpotent Lie group, nilmanifold, geometric structures on 4-manifolds, almost neutral Kähler structure, opposite almost neutral Kähler structure, isotropic Kähler structure.

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