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标题：On Generalized Ricci-Recurrent $\delta-$Lorentzian Trans-Sasakian Manifolds
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作者：Shyam Kishor ; Prerna Kanaujia
期刊名称：Global Health Governance
电子版ISSN：1939-2389
出版年度：2015
卷号：7
期号：1
页码：1-8
语种：English
出版社：Seton Hall University
摘要：In this paper we study generalized Ricci-recurrent trans-Sasakian manifolds. It is proved that a generalized Ricci-recurrent δ-Lorentzian cosym- plectic manifold is always recurrent. Generalized Ricci-recurrent δ-Lorentzian trans-Sasakian Manifolds of dimension ≥ 5 are locally classified. We have also proved that if M is one of the δ-Lorentzian Sasakian, δ-Lorentzian α- Sasakian, δ-Lorentzian Kenmotsu or δ-Lorentzian β-Kenmotsu manifoldswhich is gener- alized Ricci-recurrent with cyclic Ricci tensor and non-zero A(ξ) everywhere; then M is an Einstein manifold.