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Hypersurfaces of product like riemann manifolds

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Abstract (EN)

This study, prepared as a master's thesis, consists of four chapters. In the first chapter, previous studies related to the thesis topic and their importance are mentioned. In the second chapter, the basic properties of affine connections on Riemannian manifolds are expressed. The existence of the Levi-Civita connection, its uniqueness and its relationship with Cristoffel symbols are mentioned. Special submanifolds and statistical manifolds are discussed. In the third chapter, product-like statistical manifolds, hypersurfaces of almost product-like Riemann manifolds and tangential hypersurfaces of local product-like statistical manifolds are given under the title of product-like statistical manifolds and hypersurfaces. In the fourth chapter and the last chapter, the results of the sectional curvatures of tangential hypersurfaces and the results of the Ricci curvature of tangential hypersurfaces are discussed.

Author

Meral Solmaz

How to Cite

Meral Solmaz (Master Thesis). Hypersurfaces of product like riemann manifolds, 2025, Harran University.

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