Some geometric properties of η− Ricci solitons and gradient Ricci solitons on (ð‘™ð‘ð‘ )ð‘›âˆ’manifolds
- S. K. Yadav prof_sky16@yahoo.com
- S. K. Chaubey sudhakar.chaubey@shct.edu.om
- D. L. Suthar dlsuthar@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462017000200033Abstract
In the context of para-contact Hausdorff geometry η−Ricci solitons and gradient Ricci solitons are considered on manifolds. We establish that on an (LCS)ð‘›âˆ’manifold (M, Ï•, ξ, η, g), the existence of an η−Ricci soliton implies that (M, g) is quasi-Einstein. We find conditions for Ricci solitons on an (LCS)ð‘›âˆ’manifold (M, Ï•, ξ, η, g) to be shrinking, steady and expanding. At the end we show examples of such manifolds with η−Ricci solitons.
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Published
2017-06-01
How to Cite
[1]
S. K. Yadav, S. K. Chaubey, and D. L. Suthar, “Some geometric properties of η− Ricci solitons and gradient Ricci solitons on (ð‘™ð‘ð‘ )ð‘›âˆ’manifolds”, CUBO, vol. 19, no. 2, pp. 33–48, Jun. 2017.
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