Ricci Solitons on Nearly Kenmotsu Manifolds

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Tarih

2018

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Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this study Ricci solitons and gradient Ricci solitons in a nearly Kenmotsu manifold are investigated. After giving preliminaries and some definitions we have proved that in a nearly Kenmotsu manifold if the metric admits a Ricci soliton then the manifold is an n-Einstein manifold. In addition to these, we have showed that if a nearly Kenmotsu manifold admits a compact Ricci soliton, then the manifold is Einstein. Finally we have proved that if an n-Einstein nearly Kenmotsu manifold admits a gradient Ricci soliton, then the manifold reduces to an Einstein manifold under certain condition

Açıklama

Anahtar Kelimeler

Ricci solitons, Nearly Kenmotsu Manifolds

Kaynak

5th International Congress on Fundamental and Applied Sciences (ICFAS2018)

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