55 citations · 339 across the 38 of their papers we have counts for
43 papers
Special homogeneous surfaces
David Lindemann, Andrew Swann
We classify hyperbolic polynomials in two real variables that admit a transitive action on some component of their hyperbolic level sets. Such surfaces are called special homogeneo…
Compatibility of balanced and SKT metrics on two-step solvable Lie groups
Marco Freibert, Andrew Swann
It has been conjectured by Fino and Vezzoni that a compact complex manifold admitting both a compatible SKT and a compatible balanced metric also admits a compatible Kähler metric.…
Two-step solvable SKT shears
Marco Freibert, Andrew Swann
We use the shear construction to construct and classify a wide range of two-step solvable Lie groups admitting a left-invariant SKT structure. We reduce this to a specification of…
The c-map on groups
Oscar Macia, Andrew Swann
We study the projective special Kaehler condition on groups, providing an intrinsic definition of homogeneous projective special Kaehler that includes the previously known examples…
Toric geometry of Spin(7)-manifolds
Thomas Bruun Madsen, Andrew Swann
We study -manifolds with an effective multi-Hamiltonian action of a four-torus. On an open dense set, we provide a Gibbons-Hawking type ansatz that describes such…
Nearly Kähler six-manifolds with two-torus symmetry
Giovanni Russo, Andrew Swann
We consider nearly Kähler 6-manifolds with effective 2-torus symmetry. The multi-moment map for the -action becomes an eigenfunction of the Laplace operator. At regular values…