Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds

Bagewadi, C.S.; Ingalahalli, Gurupadavva

Research Article

Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds

C.S. Bagewadi
Gurupadavva Ingalahalli¹*

Kuvempu University

* Corresponding author

Abstract

We study Ricci solitons in (ε,δ)-trans-Sasakian manifolds. It is shown that a symmetric parallel second order covariant tensor in a (ε,δ)-trans-Sasakian manifold is a constant multiple of the metric tensor. Using this it is shown that if Vg + 2S is parallel where V is a given vector field, then (g,V) is Ricci soliton. Further, by virtue of this result, Ricci solitons for 3-dimensional (ε,δ)-trans-Sasakian manifolds are obtained. Also an example of Ricci solitons in 3-dimensional (ε,δ)-trans-Sasakian manifold is provided in the region where trans-Sasakian manifold is expanding (shrinking) the Lorentzian trans-Sasakian manifold is shrinking (expanding).

How to Cite

C. S. Bagewadi, G. Ingalahalli, Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds, Int. J. Anal. Appl. 14 (2017), 209–217.

BibTeX

@article{Bagewadi2017,
  author  = {Bagewadi, C.S. and Ingalahalli, Gurupadavva},
  title   = {Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds},
  journal = {Int. J. Anal. Appl.},
  volume  = {14},
  year    = {2017},
  pages   = {209--217},
  doi     = {}
}

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