A NOTE ON KENMOTSU MANIFOLDS ADMITTING GENERALIZED TANAKA-WEBSTER CONNECTION

Authors : Mustafa YILDIRIM, Ramazan Çınar KAYA

Pages : 122-128

Doi:10.33773/jum.1134765

View : 19 | Download : 9

Publication Date : 2022-07-31

Article Type : Research Paper

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