On Statistical and Semi-Weyl Manifolds Admitting Torsion

Adara M. Blaga and Antonella Nannicini
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Adara M. Blaga: Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, 300223 Timişoara, Romania
Antonella Nannicini: Department of Mathematics and Informatics “U. Dini”, University of Florence, Viale Morgagni, 67/a, 50134 Firenze, Italy

Mathematics, 2022, vol. 10, issue 6, 1-12

Abstract: We introduce the concept of quasi-semi-Weyl structure, we provide a couple of ways for constructing quasi-statistical and quasi-semi-Weyl structures by means of a pseudo-Riemannian metric, an affine connection and a tensor field on a smooth manifold, and we place these structures in relation with one another.

Keywords: statistical structure; quasi-statistical structure; semi-Weyl structure; quasi-semi-Weyl structure; dual; semi-dual connections (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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