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math.DG2011★ 12 cited
Geometry of warped products
Abdelghani Zeghib
This is a survey on the geometry of warped products, without, or essentially with only soft, calculation. Somewhere in the paper, the goal was to give a synthetic account since exi…
math.DG2011★ 1 cited
Homogeneous spaces, dynamics, cosmology: Geometric flows and rational dynamics
Abdelghani Zeghib
The Ricci flow is a parabolic evolution equation in the space of Riemannian metrics of a smooth manifold. To some extent, Einstein equations give rise to a similar hyperbolic evolu…
math.DG2011
Singular Riemannian metrics, sub-rigidity vs rigidity
Samir Bekkara, Abdelghani Zeghib
We analyze sub-Riemannian and lightlike metrics from the point of view of their rigidity as geometric structures. Following Cartan's and Gromov's formal definitions, they are never…