The well adapted connection of a $(J^2=\pm 1)$-metric manifold

Abstract

In this paper, we study the well adapted connection attached to a $(J^2=\pm 1)$-metric manifold, proving it exists for any of the four geometries and obtaining a explicit formula as a derivation law. Besides we characterize the coincidence of the well adapted connection with the Levi Civita and the Chern connections.

Cited by in corpus (2)

• On the geometry of almost Golden Riemannian manifolds
• Distinguished connections on $(J^2=\pm 1)$-metric manifolds