A NOTE ON KENMOTSU MANIFOLDS ADMITTING GENERALIZED TANAKA-WEBSTER CONNECTION

Year 2022, , 122 - 128, 31.07.2022

Mustafa Yıldırım , Ramazan Çınar Kaya

https://doi.org/10.33773/jum.1134765

Abstract

In the present paper, we investigate some tensor conditions of Kenmotsu manifolds with the generalized Tanaka-Webster connection. Using
the Q tensor whose trace is the well-known Z-tensor, we prove the conditions ξ − Q∗ flat, ϕ − Q∗ flat Kenmotsu manifold with respect to the generalized Tanaka-Webster connection.

Keywords

Kenmotsu manifold, generalized Tanaka-Webster connection, Q tensor

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