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The Riemann extensions with cyclic parallel Ricci tensor

Mathematische Nachrichten, 2014
The property of being a D'Atri space (i.e., a Riemannian manifold with volume‐preserving geodesic symmetries) is equivalent, in the real analytic case, to the infinite number of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold satisfying the first odd Ledger condition L3 is said to be an L3‐space.
Oldrich Kowalski, Masami Sekizawa
exaly   +3 more sources

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