Maurizio Parton

TL;DR: In this article, the authors classify Ricci-flat structures on 6-dimensional nilmanifolds for which the fundamental 2-form is closed, a condition that is shown to depend only on the underlying complex structure J of M. The space of such structures is described when G is the complex Heisenberg group, and explicit solutions are obtained from a limacon-shaped curve in the complex plane.

TL;DR: In this article, the fundamental 2-form is d d-bar closed, a condition that is shown to depend only on the underlying complex structure J of M. The space of such J is described when G is the complex Heisenberg group and explicit solutions are obtained from a limacon-shaped curve in the complex plane.

TL;DR: In this paper, the authors characterize compact locally conformal parallel fiber bundles over $S^1$ with compact nearly Kahler fiber for fiber bundles with fiber structures that are flat.

TL;DR: In this article, the de Rham class of the Lee form can be naturally identified with the homomorphism projecting Gamma to its dilation factors, thus completing the description of locally conformal Kaehler geometry in this equivariant setting.

TL;DR: For a Spin(9)-structure on a Riemannian manifold M16, the authors showed that the canonical 8-form ψ coincides up to a constant with the fourth coefficient of the characteristic polynomial of ψ.