Real hypersurfaces with constant totally real sectional curvature in a complex space form

Miguel Ortega; Juan de Dios Pérez; Young Jin Suh

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 3, page 531-537
  • ISSN: 0011-4642

Abstract

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We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature.

How to cite

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Ortega, Miguel, Pérez, Juan de Dios, and Suh, Young Jin. "Real hypersurfaces with constant totally real sectional curvature in a complex space form." Czechoslovak Mathematical Journal 50.3 (2000): 531-537. <http://eudml.org/doc/30581>.

@article{Ortega2000,
abstract = {We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature.},
author = {Ortega, Miguel, Pérez, Juan de Dios, Suh, Young Jin},
journal = {Czechoslovak Mathematical Journal},
keywords = {real hypersurfaces; holomorphic and totally real sectional curvature; real hypersurfaces; holomorphic and totally real sectional curvature},
language = {eng},
number = {3},
pages = {531-537},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Real hypersurfaces with constant totally real sectional curvature in a complex space form},
url = {http://eudml.org/doc/30581},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Ortega, Miguel
AU - Pérez, Juan de Dios
AU - Suh, Young Jin
TI - Real hypersurfaces with constant totally real sectional curvature in a complex space form
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 3
SP - 531
EP - 537
AB - We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature.
LA - eng
KW - real hypersurfaces; holomorphic and totally real sectional curvature; real hypersurfaces; holomorphic and totally real sectional curvature
UR - http://eudml.org/doc/30581
ER -

References

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  5. Real hypersurfaces in complex space forms, Cambridge University Press. Math. Sci. Res. Inst. Publ. 32 (1997), 233–305. (1997) MR1486875
  6. Constant holomorphic sectional curvature and type number of real hypersurfaces of complex hyperbolic space, Proc. 4th Internat. Congress of Geometry, Thessaloniki, 1996. (1996) MR1470995
  7. Classification of real hypersurfaces in complex hyperbolic space in terms of constant φ -holomorphic sectional curvature, Kyungpook Math. J. 35 (1996), 801–819. (1996) MR1678228
  8. A characterization of ruled real hypersurfaces in P n C , J. Korean Math. Soc. 29 (1992), 351–359. (1992) MR1180662
  9. 10.2748/tmj/1178228324, Tôhoku Math. J. 39 (1987), . (1987) MR0887937DOI10.2748/tmj/1178228324

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