most citedDeformation of 2-step Nilmanifolds with Abelian Complex Structures

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math.DG2004★ 8 cited

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.…

math.DG2001

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…