On extended generalized /-recurrent Sasakian manifolds | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 21, Issue 1, April 2013, Page 25-31 PDF (335.81 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1016/j.joems.2012.11.002 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| D.G. Prakasha* | ||||
| Department of Mathematics, Karnatak University, Dharwad 580 003, India | ||||
| Abstract | ||||
| The object of this paper is to introduce the notion of extended generalized /-recurrency to Sasakian manifolds and study its various geometric properties with the existence by an interesting example. Among the results established here it is shown that an extended generalized /-recurrent Sasakian manifold is an Einstein manifold. Further, we study extended generalized T–/-recurrent Sasakian manifold and obtain the results which reveal the nature of its associated 1-forms. Finally, an example of a 3-dimensional extended generalized /-recurrent Sasakian manifold which is neither /-recurrent nor generalized /-recurrent is constructed for illustration. | ||||
| Keywords | ||||
| Generalized recurrent Sasakian manifold; Generalized /-recurrent Sasakian manifold; Extended generalized /- recurrent Sasakian manifold; Extended generalized T–/- recurrent Sasakian manifold; T-curvature tensor; Einstein manifold | ||||
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