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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,
• 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
 MSC Classifications: 53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C40 - Global submanifolds [See also 53B25]