Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 5, Issue 2


Published
on

July 3, 2020


Pages

49-66


DOI

Article

Normal complex contact metric manifolds admitting a semi symmetric metric connection

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Authors

Aysel Turgut Vanli Affiliation:
Gazi University, Ankara, Turkey
, Inan Ünal Affiliation:
Munzur University, Tunceli, Turkey
and Dilek Özdemir Affiliation:
Gazi University, Ankara, Turkey


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

Published by: Engineering Journals

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