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Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie 𝔻-parallel

  • Juan de Dios Pérez (a1) and Young Jin Suh (a2)

Abstract

We prove the non-existence of real hypersurfaces in complex projective space whose structure Jacobi operator is Lie $\mathbb{D}$ -parallel and satisfies a further condition.

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References

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[9] Ortega, M., Pérez, J. D. and Santos, F. G., Non-existence of real hypersurfaces with parallel structure Jacobi operator in nonflat space forms. Rocky Mountain J. Math. 36(2006), 16031613. http://dx.doi.org/10.1216/rmjm/1181069385
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[11] Pérez, J. D. and Santos, F. G., Real hypersurfaces in complex projective space whose structure Jacobi operator satisfies rXR_ = LXR. Rocky Mountain J. Math. 39(2009), 12931301. http://dx.doi.org/10.1216/RMJ-2009-39-4-1293
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Keywords

Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie 𝔻-parallel

  • Juan de Dios Pérez (a1) and Young Jin Suh (a2)

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