activity
20072022
most citedElliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold

7 citations · 24 across the 9 of their papers we have counts for

collaborators

9 papers

hep-th2022★ 1 cited

Revisiting Atiyah-Hitchin manifold in the generalized Legendre transform

Masato Arai, Kurando Baba, Radu A. Ionas

We revisit construction of the Atiyah-Hitchin manifold in the generalized Legendre transform approach. This is originally studied by Ivanov and Rocek and is subsequently investigat…

math.DG2019

An analogue of the Gibbons-Hawking Ansatz for quaternionic Kähler spaces

Radu A. Ionas

We show that the geometry of -dimensional quaternionic Kähler spaces with a locally free -action admits a Gibbons-Hawking-like description based on the Galick…

math.DG2017★ 1 cited

Twisted hyperkähler symmetries and hyperholomorphic line bundles

Radu A. Ionas

In this paper we propose and investigate in full generality new notions of (continuous, non-isometric) symmetry on hyperkähler spaces. These can be grouped into two categories, cor…

math.DG2016★ 1 cited

Gravitational instantons of type and a generalization of the Gibbons-Hawking Ansatz

Radu A. Ionas

We describe a quaternionic-based Ansatz generalizing the Gibbons-Hawking Ansatz to a class of hyperkähler metrics with hidden symmetries. We then apply it to obtain explicit expres…

hep-th2008★ 6 cited

A note on conformal symmetry in projective superspace

Radu A. Ionas, Andrew Neitzke

We describe a sufficient condition for actions constructed in projective superspace to possess an SU(2) R-symmetry. We check directly that this condition implies that the correspon…

math.DG2008

Quaternionic Kahler spaces with large toric symmetry

Radu A. Ionas

We consider a general 4n-dimensional quaternionic Kahler geometry with a free action of the torus T^(n+1). The toric action lifts onto the Swann bundle of the quaternionic Kahler s…