Real hypersurfaces in complex space forms concerned with the local symmetry

Seon Mi Lyu; Juan de Dios Pérez; Young Jin Suh

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 3, page 885-905
  • ISSN: 0011-4642

Abstract

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This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface M in complex space form M m ( 4 ϵ ) . In the second, we give a complete classification of real hypersurfaces in M m ( 4 ϵ ) which satisfy the above geometric facts.

How to cite

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Lyu, Seon Mi, Pérez, Juan de Dios, and Suh, Young Jin. "Real hypersurfaces in complex space forms concerned with the local symmetry." Czechoslovak Mathematical Journal 57.3 (2007): 885-905. <http://eudml.org/doc/31170>.

@article{Lyu2007,
abstract = {This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface $M$ in complex space form $M_m(4\epsilon )$. In the second, we give a complete classification of real hypersurfaces in $M_m(4\epsilon )$ which satisfy the above geometric facts.},
author = {Lyu, Seon Mi, Pérez, Juan de Dios, Suh, Young Jin},
journal = {Czechoslovak Mathematical Journal},
keywords = {real hypersurfaces; local symmetry; derivations; Kulkarni-Nomizu product; real hypersurfaces; local symmetry; derivations; Kulkarni-Nomizu product},
language = {eng},
number = {3},
pages = {885-905},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Real hypersurfaces in complex space forms concerned with the local symmetry},
url = {http://eudml.org/doc/31170},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Lyu, Seon Mi
AU - Pérez, Juan de Dios
AU - Suh, Young Jin
TI - Real hypersurfaces in complex space forms concerned with the local symmetry
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 3
SP - 885
EP - 905
AB - This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface $M$ in complex space form $M_m(4\epsilon )$. In the second, we give a complete classification of real hypersurfaces in $M_m(4\epsilon )$ which satisfy the above geometric facts.
LA - eng
KW - real hypersurfaces; local symmetry; derivations; Kulkarni-Nomizu product; real hypersurfaces; local symmetry; derivations; Kulkarni-Nomizu product
UR - http://eudml.org/doc/31170
ER -

References

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