We study some properties of curvature tensors of Norden and more generally metallic pseudo-Riemannian manifolds. We prove that under certain assumptions, if the manifold is locally metallic, then the Riemann curvature tensor vanishes.
On curvature tensors of Norden and metallic pseudo-Riemannian manifolds / Blaga, Adara Monica; Nannicini, Antonella. - In: COMPLEX MANIFOLDS. - ISSN 2300-7443. - ELETTRONICO. - 6:(2019), pp. 150-159. [10.1515/coma-2019-0008]
On curvature tensors of Norden and metallic pseudo-Riemannian manifolds
Nannicini, Antonella
2019
Abstract
We study some properties of curvature tensors of Norden and more generally metallic pseudo-Riemannian manifolds. We prove that under certain assumptions, if the manifold is locally metallic, then the Riemann curvature tensor vanishes.
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