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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…
math.DG2020
Curvature of quaternionic Kähler manifolds with -symmetry
V. Cortés, A. Saha, D. Thung
We study the behavior of connections and curvature under the HK/QK correspondence, proving simple formulae expressing the Levi-Civita connection and Riemann curvature tensor on the…
math.DG2020
Symmetries of quaternionic Kähler manifolds with -symmetry
V. Cortés, A. Saha, D. Thung
We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra of infinitesimal automorphisms of the initial…