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math.DG2020
Killing vector fields on Riemannian and Lorentzian 3-manifolds
Amir Babak Aazami, Robert Ream
We give a complete local classification of all Riemannian 3-manifolds admitting a nonvanishing Killing vector field . We then extend this classification to timelike Kill…
math.DG2020
Cohomogeneity one Kähler-Ricci solitons under a Heisenberg group action and related metrics
Gideon Maschler, Robert Ream
We show that integrability of an almost complex structure in complex dimension is equivalent, in the presence of an almost hermitian metric, to equations involving wha…
math.DG2020
On the completeness of some Bianchi type A and related Kähler-Einstein metrics
Gideon Maschler, Robert Ream
We prove the existence of complete cohomogeneity one triaxial Kähler-Einstein metrics in dimension four under an action of the Euclidean group . We also demonstrate local exi…