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

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 ∇X = μX for any vector X tang...

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Bibliographic Details
Published in:Journal of physics. Conference series 2016-10, Vol.766 (1), p.12034
Main Authors: Sevinç, Sibel, Aydin ekerci, Gül ah, Ceylan Çöken, A.
Format: Article
Language:English
Subjects:
Fields (mathematics)
Manifolds (mathematics)
Physics
Riemann manifold
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Summary: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 ∇X = μX for any vector X tangent to N, where ∇ is the Levi-Civita connection of N. Furthermore, a concircular vector field 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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/766/1/012034