A new characterization of Kenmotsu manifolds with respect to Q tensor
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Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
This paper introduces a new characterization of Kenmotsu manifolds and analyzes curvature conditions of Kenmotsu manifolds admitting the Q tensor whose trace is the well-known Z tensor. New types of Kenmotsu manifold are defined which are named ??Q symmetric Kenmotsu manifold and ??Q recurrent Kenmotsu manifold. Various properties of such a 2m+1-dimensional Kenmotsu manifold are studied. A theorem is given which states that a three-dimensional locally ??Q recurrent and locally ??Q symmetric Kenmotsu manifold admitting Q tensor is a manifold of constant curvature. Some examples of locally ??Q symmetric Kenmotsu manifolds and Kenmotsu manifolds admitting Q tensor are provided.
Açıklama
Anahtar Kelimeler
Kenmotsu Manifold, Q Tensor, ?-recurrent Manifold, ?-symmetric Manifold
Kaynak
Journal of Geometry and Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
176
Sayı
-
