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Marshall Reber, James; Terek, Ivo
Resultate der Mathematik, 06/2024, Volume: 79, Issue: 4Journal Article
We extend the results about left-invariant Codazzi tensor fields on Lie groups equipped with left-invariant Riemannian metrics obtained by d’Atri in 1985 to the setting of reductive homogeneous spaces G / H , where the curvature of the canonical connection of second kind associated with the fixed reductive decomposition g = h ⊕ m enters the picture. In particular, we show that invariant Codazzi tensor fields on a naturally reductive homogeneous space are parallel.
