Real hypersurfaces in a complex projective space with pseudo- 𝔻 -parallel structure Jacobi operator

Hyunjin Lee; Juan de Dios Pérez; Young Jin Suh

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 4, page 1025-1036
  • ISSN: 0011-4642

Abstract

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We introduce the new notion of pseudo- 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.

How to cite

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Lee, Hyunjin, Pérez, Juan de Dios, and Suh, Young Jin. "Real hypersurfaces in a complex projective space with pseudo-${\mathbb {D}}$-parallel structure Jacobi operator." Czechoslovak Mathematical Journal 60.4 (2010): 1025-1036. <http://eudml.org/doc/196839>.

@article{Lee2010,
abstract = {We introduce the new notion of pseudo-$\mathbb \{D\} $-parallel real hypersurfaces in a complex projective space as real hypersurfaces satisfying a condition about the covariant derivative of the structure Jacobi operator in any direction of the maximal holomorphic distribution. This condition generalizes parallelness of the structure Jacobi operator. We classify this type of real hypersurfaces.},
author = {Lee, Hyunjin, Pérez, Juan de Dios, Suh, Young Jin},
journal = {Czechoslovak Mathematical Journal},
keywords = {real hypersurface; structure Jacobi operator; real hypersurface; structure Jacobi operator},
language = {eng},
number = {4},
pages = {1025-1036},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Real hypersurfaces in a complex projective space with pseudo-$\{\mathbb \{D\}\}$-parallel structure Jacobi operator},
url = {http://eudml.org/doc/196839},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Lee, Hyunjin
AU - Pérez, Juan de Dios
AU - Suh, Young Jin
TI - Real hypersurfaces in a complex projective space with pseudo-${\mathbb {D}}$-parallel structure Jacobi operator
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 1025
EP - 1036
AB - We introduce the new notion of pseudo-$\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.
LA - eng
KW - real hypersurface; structure Jacobi operator; real hypersurface; structure Jacobi operator
UR - http://eudml.org/doc/196839
ER -

References

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  10. Pérez, J. D., Santos, F. G., Suh, Y. J., 10.36045/bbms/1161350687, Bull. Belg. Math. Soc. Simon Stevin 13 (2006), 459-469. (2006) MR2307681DOI10.36045/bbms/1161350687
  11. Takagi, R., On homogeneous real hypersurfaces in a complex projective space, Osaka J. Math. 10 (1973), 495-506. (1973) Zbl0274.53062MR0336660
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