Witt pseudo-Riemannian connection

Abstract

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.

27 pages

References in corpus (2)

• Solvable Pseudo-Riemannian Symmetric Spaces
• The curvature of almost Robinson manifolds