Abstract
We prove that every CR-warped product N T × f N⊥ in a complex space form? m (4c) of constant holomorphic sectional curvature 4c satisfies a general inequality: ∥σ∥ 2 ≥ 2p{∥*(ln f)∥ 2 + Δ(ln f)} + 4hpc, where h = dim C N T , p = dim R N⊥, and σ is the second fundamental form. We also completely classify CR-warped products in a complex space form which satisfy the equality case of this inequality.
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