8 citations · 10 across the 5 of their papers we have counts for
5 papers
Deformations of hypercomplex structures related to Heisenberg groups
Gueo Grantcharov, Henrik Pedersen, Yat Sun Poon
Let be a compact quotient of the product of the real Heisenberg group of dimension and the 3-dimensional real Euclidean space $\bR^3$. A left invariant hyperc…
Deformation of 2-step Nilmanifolds with Abelian Complex Structures
C. McLaughlin, H. Pedersen, Y. S. Poon +1
We develop deformation theory for abelian invariant complex structures on a nilmanifold, and prove that in this case the invariance property is preserved by the Kuranishi process.…
Selfdual Einstein metrics with torus symmetry
David M. J. Calderbank, Henrik Pedersen
It is well known that any 4-dimensional hyperkahler metric with two commuting Killing fields may be obtained explicitly, via the Gibbons-Hawking Ansatz, from a harmonic function in…
Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics
David M. J. Calderbank, H. Pedersen
We study the Jones and Tod correspondence between selfdual conformal 4-manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl 3-manifolds, and prove that in…
Projective structures on moduli spaces of compact complex hypersurfaces
Sergey Merkulov, Henrik Pedersen
It is shown that moduli spaces of complete families of compact complex hypersurfaces in complex manifolds often come equipped canonically with projective structures satisfying some…