Einstein-like semi-symmetric spaces
One proves that semi-symmetric spaces with a Codazzi or Killing Ricci tensor are locally symmetric. Some applications of this result are given.
Semi-symmetric -spaces
We determine explicitly the local structure of a semi-symmetric -space.
Unit tangent sphere bundles with constant scalar curvature
As a first step in the search for curvature homogeneous unit tangent sphere bundles we derive necessary and sufficient conditions for a manifold to have a unit tangent sphere bundle with constant scalar curvature. We give complete classifications for low dimensions and for conformally flat manifolds. Further, we determine when the unit tangent sphere bundle is Einstein or Ricci-parallel.
Stability of the geodesic flow for the energy
We study the stability of the geodesic flow as a critical point for the energy functional when the base space is a compact orientable quotient of a two-point homogeneous space.
Flow-symmetric Riemannian manifolds.
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