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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 2

On generalized weakly symmetric $(LCS)_{n}$-manifolds

Kanak Kanti BAİSHYA
Pages
427–438
Publication Date
2019-04-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, the existence of such manifold is ensured by a non-trivial example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The object of the present paper is to study generalized weakly symmetric and weakly Ricci symmetric $(LCS)_{n}$-manifolds.
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Key Findings & Data:Our aim is to bring out different type of curvature restrictions for which $(LCS)_{n}$-manifolds are sometimes Einstein and some other time remain $\eta $-Einstein.
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Conclusion & Impact:Finally, the existence of such manifold is ensured by a non-trivial example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$(LCS)_{n}$-manifold · generalized weakly symmetric manifold · Einstein space

Abstract

The object of the present paper is to study generalized weakly symmetric and weakly Ricci symmetric $(LCS)_{n}$-manifolds. Our aim is to bring out different type of curvature restrictions for which $(LCS)_{n}$-manifolds are sometimes Einstein and some other time remain $\eta $-Einstein. Finally, the existence of such manifold is ensured by a non-trivial example.

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Cite This Article

BAİSHYA, K. K. (2019). On generalized weakly symmetric $(LCS)_{n}$-manifolds. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 2, 427–438. https://ajindex.com/articles/669381

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