Ideal CR submanifolds in non-flat complex space forms

Toru Sasahara

Czechoslovak Mathematical Journal (2014)

  • Volume: 64, Issue: 1, page 79-90
  • ISSN: 0011-4642

Abstract

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An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.

How to cite

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Sasahara, Toru. "Ideal CR submanifolds in non-flat complex space forms." Czechoslovak Mathematical Journal 64.1 (2014): 79-90. <http://eudml.org/doc/262016>.

@article{Sasahara2014,
abstract = {An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.},
author = {Sasahara, Toru},
journal = {Czechoslovak Mathematical Journal},
keywords = {$\delta $-invariants; CR submanifolds; ideal submanifolds; -invariants; CR submanifolds; ideal submanifolds},
language = {eng},
number = {1},
pages = {79-90},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Ideal CR submanifolds in non-flat complex space forms},
url = {http://eudml.org/doc/262016},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Sasahara, Toru
TI - Ideal CR submanifolds in non-flat complex space forms
JO - Czechoslovak Mathematical Journal
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 64
IS - 1
SP - 79
EP - 90
AB - An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.
LA - eng
KW - $\delta $-invariants; CR submanifolds; ideal submanifolds; -invariants; CR submanifolds; ideal submanifolds
UR - http://eudml.org/doc/262016
ER -

References

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  8. Sasahara, T., On Ricci curvature of CR-submanifolds wit rank one totally real distribution, Nihonkai Math. J. 12 (2001), 47-58. (2001) MR1833741
  9. Sasahara, T., 10.21099/tkbjm/1496164385, Tsukuba J. Math. 26 (2002), 119-132. (2002) Zbl1129.53302MR1915981DOI10.21099/tkbjm/1496164385

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