Riemannian Submersions with Quarter- Symmetric Non-Metric Connection

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Journal of Engineering Technology and Applied Sciences
Volume:6 Issue:1
Riemannian Submersions with Quarter- Symmetric Non-Metric Connection

Riemannian Submersions with Quarter- Symmetric Non-Metric Connection

Authors : Hakan DEMİR, Ramazan SARI

Pages : 1-8

Doi:10.30931/jetas.910481

View : 16 | Download : 13

Publication Date : 2021-04-30

Article Type : Research Paper

Abstract :In this paper, we study Riemannian submersions from a Riemannian manifold endowed with a quarter-symmetric non-metric connection onto a Riemannian manifold. We investigate O’Neill’s tensor fields for quarter-symmetric non-metric connection and derive the covariant derivative of O’Neill’s tensor fields. We obtain derivatives of those tensor fields and compare curvatures of the total manifold, the base manifold, and the fibers by computing curvatures.
Keywords : Riemannian submersion, quarter symmetric connection, O`Neill tensors

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