Real hypersurfaces in CP² and CH² whose structure Jacobi operator is Lie D-parallel

Authors

  • K. Panagiotidou
  • P. J. Xenos

DOI:

https://doi.org/10.1285/i15900932v32n2p89

Keywords:

Real hypersurface, Lie D-parallelness, Structure Jacobi operator, Complex projective space, Complex hyperbolic space

Abstract

In [3], [7] and [8] results concerning the parallelness of the Lie derivative of the structure Jacobi operator of a real hypersurface with respect to and to any vector field X were obtained in both complex projective space and complex hyperbolic space. In the present paper, we study the parallelness of the Lie derivative of the structure Jacobi operator of a real hypersurface with respect to vector field X ∈ D in CP2 and CH2. More precisely, we prove that such real hypersurfaces do not exist.

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Published

01-06-2013

Issue

Volume 32, Issue 2 (2012)

Section

Articoli

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