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Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie $\mathbb{D}$-parallel

  Published:2011-11-22
 Printed: Jun 2013
  • Juan de Dios Pérez,
    Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain
  • Young Jin Suh,
    Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea
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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.
Keywords: complex projective space, real hypersurface, structure Jacobi operator complex projective space, real hypersurface, structure Jacobi operator
MSC Classifications: 53C15, 53C40 show english descriptions General geometric structures on manifolds (almost complex, almost product structures, etc.)
Global submanifolds [See also 53B25]
53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C40 - Global submanifolds [See also 53B25]
 

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