Geometry of warped products

Abdelghani Zeghib (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

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 existing approaches are rather analytic. Somewhere else, we have interpreted statements, especially by means of a physical terminology. This is essentially heuristic, but we think it might be helpful in both directions, that is, in going from a synthetic geometrical language to a relativistic one, and vice-versa.

Domaines: Géométrie différentielle [math.DG]

Abdelghani Zeghib. Geometry of warped products. 1999. ⟨hal-00605624⟩