Real hypersurfaces in a complex space form with a condition on the structure Jacobi operator

In: Mathematica Slovaca, vol. 64, no. 4

S. H. Kon - Tee-How Loo - Shiquan Ren

Detaily:

Rok, strany: 2014, 1007 - 1018

Kľúčové slová:

complex space forms, structure Jacobi operator, real hypersurfaces, ruled real hypersurfaces

DOI: https://doi.org/10.2478/s12175-014-0254-2

O článku:

In this paper we classify the real hypersurfaces in a non-flat complex space form with its structure Jacobi operator $R_ξ$ satisfying $(\nabla_XR_ξ)ξ=0$, for all vector fields $X$ in the maximal holomorphic distribution $D$. With this result, we prove the non-existence of real hypersurfaces with $D$-parallel as well as $D$-recurrent structure Jacobi operator in complex projective and hyperbolic spaces. We can also prove the non-existence of real hypersurfaces with recurrent structure Jacobi operator in a non-flat complex space form as a corollary.

Ako citovať:

ISO 690:

Kon, S., Loo, T., Ren, S. 2014. Real hypersurfaces in a complex space form with a condition on the structure Jacobi operator. In Mathematica Slovaca, vol. 64, no.4, pp. 1007-1018. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0254-2

APA:

Kon, S., Loo, T., Ren, S. (2014). Real hypersurfaces in a complex space form with a condition on the structure Jacobi operator. Mathematica Slovaca, 64(4), 1007-1018. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0254-2

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