Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator
Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 359-371
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Real hypersurfaces in a complex space form whose structure Jacobi operator is symmetric along the Reeb flow are studied. Among them, homogeneous real hypersurfaces of type $\left( A \right)$ in a complex projective or hyperbolic space are characterized as those whose structure Jacobi operator commutes with the shape operator.
Mots-clés :
53B20, 53C15, 53C25, complex space form, real hypersurface, structure Jacobi operator
Cho, Jong Taek; Ki, U-Hang. Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 359-371. doi: 10.4153/CMB-2008-036-7
@article{10_4153_CMB_2008_036_7,
author = {Cho, Jong Taek and Ki, U-Hang},
title = {Real {Hypersurfaces} in {Complex} {Space} {Forms} with {Reeb} {Flow} {Symmetric} {Structure} {Jacobi} {Operator}},
journal = {Canadian mathematical bulletin},
pages = {359--371},
year = {2008},
volume = {51},
number = {3},
doi = {10.4153/CMB-2008-036-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-036-7/}
}
TY - JOUR AU - Cho, Jong Taek AU - Ki, U-Hang TI - Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator JO - Canadian mathematical bulletin PY - 2008 SP - 359 EP - 371 VL - 51 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-036-7/ DO - 10.4153/CMB-2008-036-7 ID - 10_4153_CMB_2008_036_7 ER -
%0 Journal Article %A Cho, Jong Taek %A Ki, U-Hang %T Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator %J Canadian mathematical bulletin %D 2008 %P 359-371 %V 51 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-036-7/ %R 10.4153/CMB-2008-036-7 %F 10_4153_CMB_2008_036_7
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