∗-CONFORMAL CURVATURE OF CONTACT METRIC MANIFOLDS

Hannaneh Faraji, Behzad Najafi, Tayebeh Tabtabaeifar

DOI Number
https://doi.org/10.22190/FUMI231216023F
First page
327
Last page
342

Abstract


We introduce the ∗-conformal curvature tensor and ∗η-Einstien manifolds in contact manifolds. We investigate this tensor in the three main classes of contact manifolds: Sasakian manifolds, Kenmotsu manifolds, and cosymplectic manifolds. We prove that a manifold is η-Einstienian if and only if be ∗η-Einstienian manifold.

Keywords

∗-conformal curvature, ∗η-Einstien manifolds, Sasakian manifolds, Kenmotsu manifolds, Cosymplectic manifolds.

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References


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DOI: https://doi.org/10.22190/FUMI231216023F

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