Also, we obtain the condition for Ricci soliton on weakly symmetric and weakly Ricci symmetric almost Kenmotsu $(\kappa ,\mu ,\nu)-$space with the tensor field ${\rm \pounds }_{\xi }g +2S$ is parallel to be shrinking, steady and expanding respectively.
📌 3 Key Takeaways
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Objective & Hypothesis:The present paper deals with the study of Ricci soliton on weak symmetries of almost Kenmotsu $(\kappa ,\mu ,\nu)-$space and its geometric properties.
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Key Findings & Data:The present paper deals with the study of Ricci soliton on weak symmetries of almost Kenmotsu $(\kappa ,\mu ,\nu)-$space and its geometric properties.
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Conclusion & Impact:Also, we obtain the condition for Ricci soliton on weakly symmetric and weakly Ricci symmetric almost Kenmotsu $(\kappa ,\mu ,\nu)-$space with the tensor field ${\rm \pounds }_{\xi }g +2S$ is parallel to be shrinking, steady and expanding respectively.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:\mu · Almost Kenmotsu manifolds · Ricci solitons
Abstract
The present paper deals with the study of Ricci soliton on weak symmetries of almost Kenmotsu $(\kappa ,\mu ,\nu)-$space and its geometric properties. Also, we obtain the condition for Ricci soliton on weakly symmetric and weakly Ricci symmetric almost Kenmotsu $(\kappa ,\mu ,\nu)-$space with the tensor field ${\rm \pounds }_{\xi }g +2S$ is parallel to be shrinking, steady and expanding respectively.
CHAUBEY, S. K., YADAV, S. (2018). Certain Results on Almost Kenmotsu $(\kappa ,\mu ,\nu)-$Spaces. Konuralp Journal of Mathematics, Cilt: 6 Sayı: 1, 128–133. https://ajindex.com/articles/908894
N. Aktan and A. Gorgulu, On weak symmetries of almost rpara contact Riemannian manifold of PSasakian type, Diff. Geom. Dyn. Syst. 9, (2007), 1-8
N. Aktan, S. Balkan and M. Yildirim, On weak symmetries of almost Kenmotsu (k, m, n)-spaces, Hacettepe J. Math. & Statistic 42 (4), (2013), 447-453
S. R. Ashoka, C. S. Bagewadi and G. Ingalahalli, Certain results on Ricci soliton in aSasakian manifolds, Hindawi Publ. Corporation, Geometry Article ID573925, (2013), 4 pages
S. R. Ashoka, C. S. Bagewadi and G. Ingalahalli, Geometry on Ricci soliton in (LCS)nmanifolds, Diff. Geom. Dyn. Syst. 16, (2014), 50-62
G. Ingalahalli and C. S. Bagewadi, Ricci soliton in Sasakian manifold, ISRN Geometry Article ID 521384, (2012), 13 pages
C. S. Bagewadi and G. Ingalalli, Ricci soliton on LP-Sasakian manifolds, Acta Math. Acad. Paedagog. Nyhazi. 28 (1), (2012), 59-68
C. L. Bejan and M. Crasmareanu, Ricci soliton on a manifold with quasi constant curvature, Publ. Math. Debrecen 78 (1), (2011), 235-243
B. Y. Chen and S. Deshmukh, Geometry of compact shrinking Ricci solitons, Balkan J. Geom. Appl. 19 (1), (2014), 13-21
M. C. Chaki, On pseudo Ricci symmetric manifolds, Bulgar J. Phys. 15, (1988), 526-531
A. Carriazo and V. Martin-Molina, Almost cosymplectic and almost Kenmotsu (k, m, n)-paces, Mediterranean Journal of Mathematics 10 (3), (2013), 1551-1571
S. K. Chaubey and R. H. Ojha, On the mprojective curvature tensor of a Kenmotsu manifold, Differential Geometry- Dynamical Systems 12, (2010), 52-60
S. K. Chaubey and C. S. Prasad, On generalized frecurrent Kenmotsu manifolds, TWMS J. App. Eng. Math. 5 (1), (2015), 1-9
S. K. Chaubey, S. Prakash and R. Nivas, Some properties of mprojective curvature tensor in Kenmotsu manifolds, Bulletin of Math Analysis and Applications 4, (2012), 48-56
S. K. Chaubey, On weakly mprojectively symmetric manifolds, Novi sad J. Math. 42 (1), (2012), 67-79
T. Chave and G. Valent, Quasi-Einstein metrics and their renoimalizability properties, Helv. Phys. Acta. 69, (1996), 344-347
S. K. Chaubey, Existence of N(k)quasi Einstein manifolds, Facta universititatis (NIS˘) Ser. Math. Inform. Vol. 32 (3), (2017), 369–385
Chow, B. and Knopf, D., The Ricci flow. An introduction-Mathematical Surveys and monographs 110, American Maths. Soc., 2004
T. Chave and G. Valent, On a class of compact and non-compact quasi-Einstein metrics and their renoimalizability prope