Article
Normal complex contact metric manifolds admitting a semi symmetric metric connection
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Abstract
In this paper, we study on normal complex contact metric manifold admitting a semi symmetric metric connection. We obtain curvature properties of a normal complex contact metric manifold admitting a semi symmetric metric connection. We also prove that this type of manifold is not conformal flat, concircular flat, and conharmonic flat. Finally, we examine complex Heisenberg group with the semi symmetric metric connection.
Keywords
normal complex contact metric manifold, semi symmetric metric connection, curvature tensors, complex Heisenberg group, 53C15, 53C25, 53D10
Citation
Vanli, A. T., Ünal, I., & Özdemir, D. (2020). Normal complex contact metric manifolds admitting a semi symmetric metric connection. Applied Mathematics and Nonlinear Sciences, 5(2), 49–66. https://doi.org/10.2478/amns.2020.2.00013
A. T. Vanli, I. Ünal and D. Özdemir, “Normal complex contact metric manifolds admitting a semi symmetric metric connection,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, pp. 49–66, 2020, doi: 10.2478/amns.2020.2.00013.
Vanli AT, Ünal I, Özdemir D. Normal complex contact metric manifolds admitting a semi symmetric metric connection. Applied Mathematics and Nonlinear Sciences. 2020;5(2):49–66. doi:10.2478/amns.2020.2.00013.
Vanli, A. T., Ünal, I. and Özdemir, D. (2020), ‘Normal complex contact metric manifolds admitting a semi symmetric metric connection’, Applied Mathematics and Nonlinear Sciences, 5(2), pp. 49–66. Available at: https://doi.org/10.2478/amns.2020.2.00013.
Vanli, Aysel Turgut, et al. “Normal Complex Contact Metric Manifolds Admitting a Semi Symmetric Metric Connection.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, 2020, pp. 49–66. https://doi.org/10.2478/amns.2020.2.00013.
Vanli, Aysel Turgut, Inan Ünal, and Dilek Özdemir. “Normal Complex Contact Metric Manifolds Admitting a Semi Symmetric Metric Connection.” Applied Mathematics and Nonlinear Sciences 5, no. 2 (2020): 49–66. https://doi.org/10.2478/amns.2020.2.00013.
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Published by: Engineering Journals


