Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators

Doo Hyun Hwang; Eunmi Pak; Changhwa Woo

Czechoslovak Mathematical Journal (2017)

  • Volume: 67, Issue: 4, page 989-1004
  • ISSN: 0011-4642

Abstract

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We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians SU 2 , m / S ( U 2 · U m ) with commuting conditions between the restricted normal Jacobi operator R ¯ N φ and the shape operator A (or the Ricci tensor S ).

How to cite

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Hwang, Doo Hyun, Pak, Eunmi, and Woo, Changhwa. "Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators." Czechoslovak Mathematical Journal 67.4 (2017): 989-1004. <http://eudml.org/doc/294218>.

@article{Hwang2017,
abstract = {We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians $\{\rm SU\}_\{2,m\}/S(U_\{2\}\{\cdot \}U_\{m\})$ with commuting conditions between the restricted normal Jacobi operator $\overline\{R\}_\{N\}\phi $ and the shape operator $A$ (or the Ricci tensor $S$).},
author = {Hwang, Doo Hyun, Pak, Eunmi, Woo, Changhwa},
journal = {Czechoslovak Mathematical Journal},
keywords = {real hypersurface; complex hyperbolic two-plane Grassmannians; Hopf hypersurface; shape operator; Ricci tensor; normal Jacobi operator; commuting condition},
language = {eng},
number = {4},
pages = {989-1004},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators},
url = {http://eudml.org/doc/294218},
volume = {67},
year = {2017},
}

TY - JOUR
AU - Hwang, Doo Hyun
AU - Pak, Eunmi
AU - Woo, Changhwa
TI - Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators
JO - Czechoslovak Mathematical Journal
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 4
SP - 989
EP - 1004
AB - We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians ${\rm SU}_{2,m}/S(U_{2}{\cdot }U_{m})$ with commuting conditions between the restricted normal Jacobi operator $\overline{R}_{N}\phi $ and the shape operator $A$ (or the Ricci tensor $S$).
LA - eng
KW - real hypersurface; complex hyperbolic two-plane Grassmannians; Hopf hypersurface; shape operator; Ricci tensor; normal Jacobi operator; commuting condition
UR - http://eudml.org/doc/294218
ER -

References

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