Geometry of Kenmotsu Manifolds via Q-Curvature Tensor and Schouten–Van Kampen Connection.
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Tarih
2025
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Erişim Hakkı
info:eu-repo/semantics/closedAccess
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 ?-Q flat and ?-Q flat manifolds and novel tensor conditions, such as Q(?,X)Q=0, Q(?X)R=0, Q(?,X)S=0, Q(?,X)C=0 ,Q(?,X)H=0, and Q(?,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
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WoS Q Değeri
Scopus Q Değeri
Cilt
7
Sayı
14
