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math.DG2021
Heisenberg-invariant self-dual Einstein manifolds
Vicente Cortés, Ángel Murcia
We classify all self-dual Einstein four-manifolds invariant under a principal action of the three-dimensional Heisenberg group with non-degenerate orbits. The metrics are explicit…
math.DG2021
Four-dimensional Einstein manifolds with Heisenberg symmetry
Vicente Cortés, Arpan Saha
We classify Einstein metrics on invariant under a four-dimensional group of isometries including a principal action of the Heisenberg group. The metrics are either R…