Some Results About Concircular and Concurrent Vector Fields On Pseudo-Kaehler Manifolds

International Conference on Quantum Science and Applications 2016

Sevinç, Sibel^1 ; Aydin Sekerci, Gülah^2 ; Ceylan Çöken, A.^3

Cumhuriyet University, Department of Mathematics, Sivas, Turkey^1

Süleyman Demirel University, Department of Mathematics, Isparta, Turkey^2

Akdeniz University, Department of Mathematics, Antalya, Turkey^3

关键词: Application fields;    Kaehler manifold;    Riemannian manifold;    Submanifolds;    Vector fields;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012034/pdf
DOI  :  10.1088/1742-6596/766/1/012034

来源: IOP

【 摘 要 】

Kaehler manifolds which are used in physics have a lot of application fields. In this study we only state concircular and concurrent vector field that are defined on these manifolds. A vector field on a pseudo-Riemannian manifold N is called concircular, if it satisfies ∇Xυ = μX for any vector X tangent to N, where ∇ is the Levi-Civita connection of N. Furthermore, a concircular vector field υ is called a concurrent vector field if the function μ is non-constant. So, we provide some results on submanifolds of pseudo-Kaehler manifolds with respect to a concircular vector field or a concurrent vector field. Morever, we investigate this problem for another manifolds and proof some theorems.