Abstract Let $$(X,J,\omega )$$ ( X , J ω ) be a compact 2 n -dimensional almost Kähler manifold. We prove primitive decompositions for Bott–Chern and Aeppli harmonic forms in special bidegrees show that...

The space $\mathcal{H}$ of "almost calibrated" $(1,1)$ forms on a compact K\"ahler manifold plays an important role in the study deformed Hermitian-Yang-Mills equation mirror symmetry as emphasized by recent work second author and Yau, is related to positive Lagrangians studied Solomon. This paper initiates geometry $\mathcal{H}$. We show that infinite dimensional Riemannian with non-positive s...

We investigate conditions under which a co-computably enumerable closed set in a computable metric space is computable and prove that in each locally computable computable metric space each co-computably enumerable compact manifold with computable boundary is computable. In fact, we examine the notion of a semi-computable compact set and we prove a more general result: in any computable metric ...