Department of Mathematics, Karnatak University, Dharwad 580 003, India
http://dx.doi.org/10.1016/j.joems.2012.11.002
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.
Prakasha, D. (2013). On extended generalized /-recurrent Sasakian manifolds. Journal of the Egyptian Mathematical Society, 21(1), 25-31. doi: http://dx.doi.org/10.1016/j.joems.2012.11.002
MLA
D.G. Prakasha. "On extended generalized /-recurrent Sasakian manifolds". Journal of the Egyptian Mathematical Society, 21, 1, 2013, 25-31. doi: http://dx.doi.org/10.1016/j.joems.2012.11.002
HARVARD
Prakasha, D. (2013). 'On extended generalized /-recurrent Sasakian manifolds', Journal of the Egyptian Mathematical Society, 21(1), pp. 25-31. doi: http://dx.doi.org/10.1016/j.joems.2012.11.002
VANCOUVER
Prakasha, D. On extended generalized /-recurrent Sasakian manifolds. Journal of the Egyptian Mathematical Society, 2013; 21(1): 25-31. doi: http://dx.doi.org/10.1016/j.joems.2012.11.002
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