activity
20072020
most citedOn nearly Sasakian and nearly cosymplectic manifolds

22 citations · 96 across the 11 of their papers we have counts for

collaborators

11 papers

math.DG2020★ 8 cited

Homogeneous non-degenerate --Sasaki manifolds and submersions over quaternionic Kähler spaces

Ilka Agricola, Giulia Dileo, Leander Stecker

We show that every --Sasaki manifold of dimension admits a locally defined Riemannian submersion over a quaternionic Kähler manifold of scalar curvature $16n(n+2…

math.DG2020

Odd dimensional counterparts of abelian complex and hypercomplex structures

Adrian Andrada, Giulia Dileo

We introduce the notion of abelian almost contact structures on an odd dimensional real Lie algebra . This a sufficient condition for the structure to be normal. We in…

math.DG2019★ 3 cited

Nearly Sasakian manifolds revisited

Beniamino Cappelletti-Montano, Antonio De Nicola, Giulia Dileo +1

We provide a new, self-contained and more conceptual proof of the result that an almost contact metric manifold of dimension greater than 5 is Sasakian if and only if it is nearly…

math.DG2018★ 20 cited

Generalizations of 3-Sasakian manifolds and skew torsion

Ilka Agricola, Giulia Dileo

In the first part, we define and investigate new classes of almost 3-contact metric manifolds, with two guiding ideas in mind: first, what geometric objects are best suited for cap…

math.DG2016★ 22 cited

On nearly Sasakian and nearly cosymplectic manifolds

Antonio De Nicola, Giulia Dileo, Ivan Yudin

We prove that every nearly Sasakian manifold of dimension greater than five is Sasakian. This provides a new criterion for an almost contact metric manifold to be Sasakian. Moreove…

math.DG2014★ 21 cited

Nearly Sasakian geometry and -structures

Beniamino Cappelletti-Montano, Giulia Dileo

We carry on a systematic study of nearly Sasakian manifolds. We prove that any nearly Sasakian manifold admits two types of integrable distributions with totally geodesic leaves wh…