First Natural Connection on Riemannian Π-Manifolds

نویسندگان

چکیده

A natural connection with torsion is defined, and it called the first on Riemannian Π-manifold. Relations between introduced Levi–Civita are obtained. Additionally, relations their respective curvature tensors, Ricci scalar curvatures in main classes of a classification Π-manifolds presented. An explicit example dimension five provided.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11051146