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

Published 11 Dec 2015 in math.DG | (1512.03586v1)

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.

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