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

Sevinc S., Sekerci G., Coken A. C.

International Conference on Quantum Science and Applications (ICQSA), Eskişehir, Turkey, 25 - 27 May 2016, vol.766 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 766
  • Doi Number: 10.1088/1742-6596/766/1/012034
  • City: Eskişehir
  • Country: Turkey
  • Süleyman Demirel University Affiliated: Yes

Abstract

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 del(X)v = mu X for any vector X tangent to N, where del is the Levi-Civita connection of N. Furthermore, a concircular vector field v is called a concurrent vector field if the function mu 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.