Witt pseudo-Riemannian connection

Robert Petit (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We define the notion of Witt structure on the tangent bundle of a pseudo-Riemannian manifold and we introduce a connection adapted to a such structure. The notions of geodesics and symmetric spaces are revisited in this setting and applications are given in the special cases of Robinson and Fefferman manifolds.

Domaines: Géométrie différentielle [math.DG]

Robert Petit. Witt pseudo-Riemannian connection. 2019. ⟨hal-02328992⟩