6 papers
Almost Kähler metrics and pp-wave spacetimes
Amir Babak Aazami, Robert Ream
We establish a one-to-one correspondence between a class of strictly almost Kähler metrics on the one hand, and Lorentzian pp-wave spacetimes on the other; the latter metrics are w…
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…
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…
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…
The Adjunction Inequality for Weyl-Harmonic Maps
Robert Ream
In this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection . We show that there is an Eells-Salamon…
Minimal two-spheres of low index in manifolds of positive complex sectional curvature
John Douglas Moore, Robert Ream
Suppose that is given a generic Riemannian metric with sectional curvatures which satisfy a suitable pinching condition formulated in terms of complex sectional curvatures. T…