Geometry of holomorphic distributions of real hypersurfaces in a complex projective space

U-Hang Ki; Makoto Kimura; Sadahiro Maeda

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 1, page 197-204
  • ISSN: 0011-4642

Abstract

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We characterize homogeneous real hypersurfaces M ’s of type ( A 1 ) , ( A 2 ) and ( B ) of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution T 0 M of M .

How to cite

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Ki, U-Hang, Kimura, Makoto, and Maeda, Sadahiro. "Geometry of holomorphic distributions of real hypersurfaces in a complex projective space." Czechoslovak Mathematical Journal 51.1 (2001): 197-204. <http://eudml.org/doc/30627>.

@article{Ki2001,
abstract = {We characterize homogeneous real hypersurfaces $M$’s of type $(A_1)$, $(A_2)$ and $(B)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution $T^0M$ of $M$.},
author = {Ki, U-Hang, Kimura, Makoto, Maeda, Sadahiro},
journal = {Czechoslovak Mathematical Journal},
keywords = {complex projective space; real hypersurfaces; holomorphic distribution; complex projective space; real hypersurfaces; holomorphic distribution},
language = {eng},
number = {1},
pages = {197-204},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Geometry of holomorphic distributions of real hypersurfaces in a complex projective space},
url = {http://eudml.org/doc/30627},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Ki, U-Hang
AU - Kimura, Makoto
AU - Maeda, Sadahiro
TI - Geometry of holomorphic distributions of real hypersurfaces in a complex projective space
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 1
SP - 197
EP - 204
AB - We characterize homogeneous real hypersurfaces $M$’s of type $(A_1)$, $(A_2)$ and $(B)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution $T^0M$ of $M$.
LA - eng
KW - complex projective space; real hypersurfaces; holomorphic distribution; complex projective space; real hypersurfaces; holomorphic distribution
UR - http://eudml.org/doc/30627
ER -

References

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  1. Focal sets and real hypersurfaces in complex projective space, Trans.  Amer.  Math.  Soc. 269 (1982), 481–499. (1982) MR0637703
  2. 10.1090/S0002-9947-1986-0837803-2, Trans.  Amer.  Math.  Soc. 296 (1986), 137–149. (1986) Zbl0597.53021MR0837803DOI10.1090/S0002-9947-1986-0837803-2
  3. 10.1007/BF01159962, Math.  Z. 202 (1989), 299–311. (1989) MR1017573DOI10.1007/BF01159962
  4. Lie derivatives on real hypersurfaces in a complex projective space, Czechoslovak Math.  J. 45 (1995), 135–148. (1995) MR1314536
  5. 10.2969/jmsj/02830529, J.  Math.  Soc. Japan 28 (1976), 529–540. (1976) Zbl0324.53039MR0407772DOI10.2969/jmsj/02830529
  6. 10.1016/0001-8708(74)90066-8, Adv. Math. 13 (1974), 73–114. (1974) Zbl0275.53035MR0346719DOI10.1016/0001-8708(74)90066-8
  7. On homogeneous real hypersurfaces of a complex projective space, Osaka J.  Math.  10 (1973), 495–506. (1973) MR0336660
  8. 10.2969/jmsj/02710043, J.  Math.  Soc.  Japan 27 (1975), 43–53, 507–516. (1975) MR0400120DOI10.2969/jmsj/02710043

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