η-Ricci Solitons in α-Sasakian Manifolds

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DOI : https://doi.org/10.56424/jts.v8i01.10553
Published Jun 30, 2007

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S R Ashoka
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, INDIA
C S Bagewadi
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, INDIA
Gurupadavva Ingalahalli
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, INDIA

Abstract

In this paper we study η−Ricci solitons in α−Sasakian manifolds its shows that a symmetric second order covariant tensors in α−Sasakian manifolds is a constant multiple of metric tensor using this it is shown that LV g+ 2S + 2µη-η is parallel, where V is a given vector field then (g, V, µ) is η−Ricci solitons.

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How to Cite
Ashoka, S., Bagewadi, C., & Ingalahalli, G. (2007). η-Ricci Solitons in α-Sasakian Manifolds. Journal of the Tensor Society, 8(01), 113-120. https://doi.org/10.56424/jts.v8i01.10553
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Vol 8 No 01 (2014): Journal of The Tensor Society
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