Abstract We study new examples of translating solitons the mean curvature flow, especially in Minkowski space. consider for this purpose manifolds admitting submersions and cohomegeneity one actions by isometries on suitable open subsets. This general setting also covers classical Euclidean examples. As an application, we completely classify time-like, invariant rotations boosts

We provide several results on the existence of metrics non-negative sectional curvature vector bundles over certain cohomogeneity one manifolds and homogeneous spaces up to suitable stabilization. Beside explicit constructions metrics, this is achieved by identifying equivariant structures upon these via a comparison their non-equivariant K-theory. For this, in particular, we transcribe K-theor...

Abstract In this paper we study the rotationally invariant harmonic cohomology of a two-parameter family Einstein metrics g which admits cohomogeneity one action SU (2) × U (1) and has AdS asymptotics. Depending on values parameters, is either NUT type, if fixed-point locus zero-dimensional, or bolt it two-dimensional. We find that type then space (2)-invariant two-forms three-dimensional consi...

The remarkable and unexpected separability of the Hamilton-Jacobi and Klein-Gordon equations in the background of a rotating four-dimensional black hole played an important rôle in the construction of generalisations of the Kerr metric, and in the uncovering of hidden symmetries associated with the existence of Killing tensors. In this paper, we show that the Hamilton-Jacobi and Klein-Gordon eq...