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A Special Type of Anti-invariant Riemannian Submersions

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Abstract

A special type of anti-invariant Riemannian submersions is investigated. It is shown that the base space of an anti-invariant submersion is an almost contact metric manifold. The basic properties of these anti-invariant Riemannian submersions are presented. Some relations involving the Riemannian curvature invariants of these submersions are obtained.

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ACKNOWLEDGMENTS

The authors thank the editor and the anonymous reviewer for careful reading of the manuscript and helpful remarks.

Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Correspondence to M. Gülbahar, E. Erkan or F. Maksut.

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Gülbahar, M., Erkan, E. & Maksut, F. A Special Type of Anti-invariant Riemannian Submersions. Lobachevskii J Math 44, 5231–5238 (2023). https://doi.org/10.1134/S1995080223120120

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  • DOI: https://doi.org/10.1134/S1995080223120120

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