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Real hypersurfaces in a complex projective space with pseudo-$$ \mathbb{D} $$-parallel structure Jacobi operator |
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| Authors: | Hyunjin Lee Juan de Dios Pérez Young Jin Suh |
| Institution: | 1.Taegu,Korea;2.School of Electrical Engineering and Computer Science,Kyungpook National University,Taegu,Republic of Korea;3.Granada,Spain;4.Departamento de Geometria y Topologia,Universidad de Granada,Granada,Spain;5.Department of Mathematics,Kyungpook National University,Taegu,Republic of Korea |
| Abstract: | We introduce the new notion of pseudo-$ \mathbb{D} $ \mathbb{D} -parallel real hypersurfaces in a complex projective space as real hypersurfaces satisfying a condition about the covariant derivative of the structure Jacobi operator in any direction of the maximal holomorphic distribution. This condition generalizes parallelness of the structure Jacobi operator. We classify this type of real hypersurfaces. |
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