Real hypersurfaces with constant totally real bisectional curvature in complex space forms

Miguel Ortega; Juan de Dios Pérez; Young Jin Suh

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 377-388
  • ISSN: 0011-4642

Abstract

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In this paper we classify real hypersurfaces with constant totally real bisectional curvature in a non flat complex space form M m ( c ) , c ≠ 0 as those which have constant holomorphic sectional curvature given in [6] and [13] or constant totally real sectional curvature given in [11].

How to cite

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Ortega, Miguel, Pérez, Juan de Dios, and Suh, Young Jin. "Real hypersurfaces with constant totally real bisectional curvature in complex space forms." Czechoslovak Mathematical Journal 56.2 (2006): 377-388. <http://eudml.org/doc/31035>.

@article{Ortega2006,
abstract = {In this paper we classify real hypersurfaces with constant totally real bisectional curvature in a non flat complex space form $M_m(c)$, $c\ne 0$ as those which have constant holomorphic sectional curvature given in [6] and [13] or constant totally real sectional curvature given in [11].},
author = {Ortega, Miguel, Pérez, Juan de Dios, Suh, Young Jin},
journal = {Czechoslovak Mathematical Journal},
keywords = {real hypersurfaces; totally real bisectional curvature; sectional curvature; holomorphic sectional curvature; holomorphic sectional curvature},
language = {eng},
number = {2},
pages = {377-388},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Real hypersurfaces with constant totally real bisectional curvature in complex space forms},
url = {http://eudml.org/doc/31035},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Ortega, Miguel
AU - Pérez, Juan de Dios
AU - Suh, Young Jin
TI - Real hypersurfaces with constant totally real bisectional curvature in complex space forms
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 377
EP - 388
AB - In this paper we classify real hypersurfaces with constant totally real bisectional curvature in a non flat complex space form $M_m(c)$, $c\ne 0$ as those which have constant holomorphic sectional curvature given in [6] and [13] or constant totally real sectional curvature given in [11].
LA - eng
KW - real hypersurfaces; totally real bisectional curvature; sectional curvature; holomorphic sectional curvature; holomorphic sectional curvature
UR - http://eudml.org/doc/31035
ER -

References

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  12. 10.1016/S0926-2245(97)00003-X, Diff. Geom. and Its Appl. 7 (1997), 211–217. (1997) DOI10.1016/S0926-2245(97)00003-X
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