Real Hypersurfaces in CP2 and CH2 Equipped With Structure Jacobi Operator Satisfying Lξl =▽ξl - Advances in Pure Mathematics

APM > Vol.2 No.1, January 2012

Advances in Pure Mathematics

Volume 2, Issue 1 (January 2012)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

Real Hypersurfaces in CP² and CH² Equipped With Structure Jacobi Operator Satisfying L_ξl =▽_ξl ()

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DOI: 10.4236/apm.2012.21001 3,336 Downloads 8,025 Views Citations

Author(s)

Konstantina Panagiotidou, Philippos J. Xenos

Affiliation(s)

ABSTRACT

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.

KEYWORDS

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

Share and Cite:

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.

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