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Real Hypersurfaces in *CP ^{2}* and

*CH*Equipped With Structure Jacobi Operator Satisfying L

^{2}_{ξ}l =▽

_{ξ}l

Recently in [1], Perez and Santos classified real hypersurfaces in complex projective space CP

^{n}for n ≥ 3, whose Lie derivative of structure Jacobi operator in the direction of the structure vector field coincides with the covariant derivative of it in the same direction. The present paper completes the investigation of this problem studying the case n = 2 in both complex projective and hyperbolic spaces.Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

K. Panagiotidou and P. Xenos, "Real Hypersurfaces in

*CP*and^{2}*CH*Equipped With Structure Jacobi Operator Satisfying L^{2}_{ξ}l =▽_{ξ}l,"*Advances in Pure Mathematics*, Vol. 2 No. 1, 2012, pp. 1-5. doi: 10.4236/apm.2012.21001.

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