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...

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...

In this paper, we give a classification of non simply connected seven dimensional Reimannian manifolds of constant positive curvature which admit irreducible cohomogeneity-one actions. We characterize the acting groups and describe the orbits. The first and second homo-topy groups of the orbits have been presented as well.