S. Druţă-Romaniuc

New Results on Einstein and $\eta$-Einstein tangent sphere bundles

We complete the results from [14] concerning tangent sphere bundles of constant radius $r$, previously valid for nonflat base manifolds of dimension $n>2$, by taking as base manifold an arbitrary $2$-dimensional space form$(M,g)$. We derive expressions for the metric ${}^rG$ induced on $T_rM$ by a natural diagonal metr...