Geometry of Kenmotsu Manifolds via Q-Curvature Tensor and Schouten-Van Kampen Connection
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This research paper aims to study the Q-curvature tensor on Kenmotsu manifolds endowed with the Schouten-van Kampen connection. Using the Q-curvature tensor, whose trace is the well-known Z-tensor, we characterized Kenmotsu manifolds by introducing the notion of zeta-Q flat and phi-Q flat manifolds and novel tensor conditions, such as Q(xi,X)Q=0, Q(xi,X)R=0, Q(xi,X)C=0, Q(xi,X)S=0, Q(xi,X)H=0, and Q(xi,X)P=0, with the Schouten-van Kampen connection. To validate some of our results, we constructed a non-trivial example of Kenmotsu manifolds endowed with the Schouten-van Kampen connection.
Açıklama
Anahtar Kelimeler
Kenmotsu manifolds, Schouten van-Kampen connection, Q-curvature tensor
Kaynak
Axioms
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
14
Sayı
7
