output
19992026
most citedEvidence for a single-layer van der Waals multiferroic

413 citations

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10 papers · 1 filter

math.DG2018★ 4 cited

The Role of Spin(9) in Octonionic Geometry

Maurizio Parton, Paolo Piccinni

Starting from the 2001 Thomas Friedrich's work on Spin(9), we review some interactions between Spin(9) and geometries related to octonions. Several topics are discussed in this res…

math.DG2017★ 11 cited

Almost complex structures on spheres

Panagiotis Konstantis, Maurizio Parton

In this paper we review the well-known fact that the only spheres admitting an almost complex structure are S^2 and S^6. The proof described here uses characteristic classes and th…

math.DG2017★ 3 cited

Structure of locally conformally symplectic Lie algebras and solvmanifolds

Daniele Angella, Giovanni Bazzoni, Maurizio Parton

We obtain structure results for locally conformally symplectic Lie algebras. We classify locally conformally symplectic structures on four-dimensional Lie algebras and construct lo…

math.DG2016★ 10 cited

Rigidity of Oeljeklaus-Toma manifolds

Daniele Angella, Maurizio Parton, Victor Vuletescu

We prove that Oeljeklaus-Toma manifolds of simple type are rigid, and that any line bundle on an Oeljeklaus-Toma manifold is flat.

math.DG2011★ 1 cited

Spin(9) and almost complex structures on 16-dimensional manifolds

Maurizio Parton, Paolo Piccinni

For a Spin(9)-structure on a Riemannian manifold M^16 we write explicitly the matrix psi of its Kähler 2-forms and the canonical 8-form Phi. We then prove that Phi coincides up to…

math.DG2010★ 13 cited

Examples of non-trivial rank in locally conformal Kähler geometry

Maurizio Parton, Victor Vuletescu

We consider locally conformal Kaehler geometry as an equivariant, homothetic Kaehler geometry (K,Γ). We show that the de Rham class of the Lee form can be naturally identified with…

math.DG2005★ 4 cited

Locally conformal parallel and manifolds

Stefan Ivanov, Maurizio Parton, Paolo Piccinni

We characterize compact locally conformal parallel (respectively, ) manifolds as fiber bundles over with compact nearly Kähler (respectively, compact nearly pa…

math.DG2005★ 26 cited

Reduction of Vaisman structures in complex and quaternionic geometry

Rosa Gini, Liviu Ornea, Maurizio Parton +1

We consider locally conformal Kaehler geometry as an equivariant (homothetic) Kaehler geometry: a locally conformal Kaehler manifold is, up to equivalence, a pair (K,Γ) where K is…

math.DG2002

Families of strong KT structures in six dimensions

Anna Fino, Maurizio Parton, Simon Salamon

This paper classifies Hermitian structures on 6-dimensional nilmanifolds M=G/L for which the fundamental 2-form is d d-bar closed, a condition that is shown to depend only on the u…

math.DG1999★ 3 cited

Hopf surfaces: a family of locally conformal Kaehler metrics and elliptic fibrations

Maurizio Parton

We describe a family of locally conformal Kaehler metrics on class 1 Hopf surfaces H containing some recent metrics constructed by P. Gauduchon and L. ornea. We study some canonica…