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20032026
most citedNetwork dismantling

304 citations

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math.DG2025

The holonomy of the Obata connection on Joyce hypercomplex manifolds

Beatrice Brienza, Udhav Fowdar, Giovanni Gentili +1

We study the holonomy of the Obata connection on Joyce hypercomplex manifolds. For all such group manifolds except , we show that the holonomy group is strictly…

math.DG2025★ 1 cited

Some remarks on strong -structures with torsion

Anna Fino, Udhav Fowdar

A -structure on a -manifold is called a -structure if admits a -connection with totally skew-symmetric torsion $T_φ…

math.DG2024

On the existence of balanced metrics of Hodge-Riemann type

Anna Fino, Asia Mainenti

In the paper we study the existence of balanced metrics of Hodge-Riemann type on non-Kähler complex manifolds. We first find some general obstructions, for instance that a Hodge-Ri…

math.DG2024

Ends of (singular) Ricci shrinkers

Alessandro Bertellotti, Reto Buzano

We estimate the number of ends of smooth and singular Ricci shrinkers focussing first on general ends and later on asymptotically conical ones. In particular, we obtain a variety o…

math.DG2024

Planar closed curves with prescribed curvature

Paolo Caldiroli, Anna Capietto

By variational methods, we prove existence of planar closed curves with prescribed curvature for some classes of curvature functions. The main difficulty is to obtain bounded Palai…

math.DG2024★ 5 cited

CYT and SKT manifolds with parallel Bismut torsion

Beatrice Brienza, Anna Fino, Gueo Grantcharov

In the present paper, we study compact complex manifolds admitting a Hermitian metric which is SKT and CYT and whose Bismut torsion is parallel. We first obtain a characterization…