2006•Bulletin of the Belgian Mathematical Society - Simon StevinRequires access

Real hypersurfaces in complex projective space whose structure Jacobi operator is $\mathbb D$-parallel

Florentino Garcia Santos, Young Jin Suh, Juan de Dios Pérez

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Abstract

We prove the non existence of real hypersurfaces in complex projective space whose structure Jacobi\noperator is parallel in any direction of the maximal holomorphic distribution.

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We prove the non existence of real hypersurfaces in complex projective space whose structure Jacobi\noperator is parallel in any direction of the maximal holomorphic distribution.

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OpenAlex reports 47 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We prove the non existence of real hypersurfaces in complex projective space whose structure Jacobi\noperator is parallel in any direction of the maximal holomorphic distribution.

Key concepts: Jacobi operator, Complex projective space, Quaternionic projective space, Holomorphic function, Mathematics, Projective test, Pure mathematics, Operator (biology)

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