Locally product-like statistical submersions

Authors: KAZUHİKO TAKANO, ESRA ERKAN, MEHMET GÜLBAHAR

Abstract: In this paper, the main identities on locally product-like statistical submersions are obtained with the aid of statistical structures and their Riemannian curvature tensors. Some examples of locally product-like statistical submersions are presented. Some results on $F$-invariant, $F^{\ast}$-invariant and antiinvariant locally product-like statistical submersions are given.

Keywords: Product manifold, statistical submersion, Riemannian curvature tensor

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