Geometric Analysis of Riemannian Submersions: Curvature Tensors and Total Umbilic Fibers

Year 2024, Volume: 12 Issue: 2, 158 - 171, 28.10.2024

Esra Karataş , Semra Zeren , Mustafa Altın

Abstract

In this paper, we investigate the geometric properties of Riemannian submersions, providing a comprehensive analysis of various curvature tensors, all associated with a new type of semi-symmetric non-metric connection. We also investigate the behavior of these curvatures in cases where Riemannian submersions have total umbilic fibers.

Keywords

Curvature tensors, Riemannian submersion, Semi-symmetric non-metric connection, Total umbilic fibers

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