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http://dx.doi.org/10.5666/KMJ.2015.55.1.149

Some Symmetric Properties on (LCS)n-manifolds  

Venkatesha, Venkatesha (Department of Mathematics, Kuvempu University)
Naveen Kumar, Rahuthanahalli Thimmegowda (Department of Mathematics, Kuvempu University)
Publication Information
Kyungpook Mathematical Journal / v.55, no.1, 2015 , pp. 149-156 More about this Journal
Abstract
We analyze the $(LCS)_n$-manifolds endowed with some symmetric properties, focusing on Ricci tensor and the 1-form ${\gamma}$. We study some properties of special Weakly Ricci-Symmetric $(LCS)_n$-manifolds and also shown that Weakly ${\phi}$-Ricci Symmetric $(LCS)_n$-manifold is an ${\eta}$-Einstein manifold.
Keywords
Lorentzian metric; Ricci tensor; Einstein manifold; Weakly Riccisymmetric; Weakly ${\phi}$-Ricci Symmetric;
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