Author(s)

Konstantina Panagiotidou, Philippos J. Xenos

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

Real Hypersurfaces; Complex Projective Space; Complex Hyperbolic Space; Lie Derivative; Structure Jacobi Operator

K. Panagiotidou and P. Xenos, "Real Hypersurfaces in CP² and CH² Equipped With Structure Jacobi Operator Satisfying L_ξl =▽_ξl," Advances in Pure Mathematics, Vol. 2 No. 1, 2012, pp. 1-5. doi: 10.4236/apm.2012.21001.